132762000 has 320 divisors, whose sum is σ = 510681600. Its totient is φ = 29030400.

The previous prime is 132761989. The next prime is 132762001. The reversal of 132762000 is 267231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132762001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217946 + ... + 1218054.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 2^132762000 is an apocalyptic number.

132762000 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 132762000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255340800).

132762000 is an abundant number, since it is smaller than the sum of its proper divisors (377919600).

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

132762000 is a wasteful number, since it uses less digits than its factorization.

132762000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 132762000 is about 11522.2393656789. The cubic root of 132762000 is about 510.1422133198.

The spelling of 132762000 in words is "one hundred thirty-two million, seven hundred sixty-two thousand".