137483640 has 192 divisors, whose sum is σ = 517233600. Its totient is φ = 31021056.

The previous prime is 137483623. The next prime is 137483651. The reversal of 137483640 is 46384731.

137483640 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 8 + 3 + 640 = 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 = 137483595 and 137483604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223974 + ... + 224586.

It is an arithmetic number, because the mean of its divisors is an integer number (2693925).

Almost surely, 2^137483640 is an apocalyptic number.

137483640 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 137483640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258616800).

137483640 is an abundant number, since it is smaller than the sum of its proper divisors (379749960).

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

137483640 is a wasteful number, since it uses less digits than its factorization.

137483640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 137483640 is about 11725.3417860632. The cubic root of 137483640 is about 516.1195864888.

The spelling of 137483640 in words is "one hundred thirty-seven million, four hundred eighty-three thousand, six hundred forty".