133677540 has 240 divisors, whose sum is σ = 456160320. Its totient is φ = 32659200.

The previous prime is 133677517. The next prime is 133677547. The reversal of 133677540 is 45776331.

133677540 is a `hidden beast` number, since 13 + 36 + 77 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133677495 and 133677504.

It is not an unprimeable number, because it can be changed into a prime (133677547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1323490 + ... + 1323590.

It is an arithmetic number, because the mean of its divisors is an integer number (1900668).

Almost surely, 2^133677540 is an apocalyptic number.

133677540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133677540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228080160).

133677540 is an abundant number, since it is smaller than the sum of its proper divisors (322482780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133677540 is a wasteful number, since it uses less digits than its factorization.

133677540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 133677540 is about 11561.9003628296. The cubic root of 133677540 is about 511.3121918671.

The spelling of 133677540 in words is "one hundred thirty-three million, six hundred seventy-seven thousand, five hundred forty".