132957440 has 288 divisors, whose sum is σ = 423843840. Its totient is φ = 38707200.

The previous prime is 132957439. The next prime is 132957469. The reversal of 132957440 is 44759231.

132957440 = T₁₅₉ + T₁₆₀ + ... + T₉₂₈.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 132957440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1872605 + ... + 1872675.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 2^132957440 is an apocalyptic number.

132957440 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 132957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

132957440 is an abundant number, since it is smaller than the sum of its proper divisors (290886400).

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

132957440 is a wasteful number, since it uses less digits than its factorization.

132957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 132957440 is about 11530.7172370152. The cubic root of 132957440 is about 510.3924187250.

The spelling of 132957440 in words is "one hundred thirty-two million, nine hundred fifty-seven thousand, four hundred forty".