132985755 has 72 divisors (see below), whose sum is σ = 274869504. Its totient is φ = 59270400.

The previous prime is 132985729. The next prime is 132985759. The reversal of 132985755 is 557589231.

It is not a de Polignac number, because 132985755 - 2⁹ = 132985243 is a prime.

It is a super-2 number, since 2×132985755² = 35370422065840050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 132985755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132985759) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89670 + ... + 91140.

It is an arithmetic number, because the mean of its divisors is an integer number (3817632).

Almost surely, 2^132985755 is an apocalyptic number.

132985755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132985755 is an abundant number, since it is smaller than the sum of its proper divisors (141883749).

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

132985755 is a wasteful number, since it uses less digits than its factorization.

132985755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1527 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 132985755 is about 11531.9449790571. The cubic root of 132985755 is about 510.4286477006.

The spelling of 132985755 in words is "one hundred thirty-two million, nine hundred eighty-five thousand, seven hundred fifty-five".