132894720 has 312 divisors, whose sum is σ = 531563136. Its totient is φ = 30081024.

The previous prime is 132894659. The next prime is 132894743. The reversal of 132894720 is 27498231.

It is a super-2 number, since 2×132894720² = 35322013207756800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290189 + ... + 1290291.

It is an arithmetic number, because the mean of its divisors is an integer number (1703728).

Almost surely, 2^132894720 is an apocalyptic number.

132894720 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 132894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265781568).

132894720 is an abundant number, since it is smaller than the sum of its proper divisors (398668416).

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

132894720 is a wasteful number, since it uses less digits than its factorization.

132894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 132894720 is about 11527.9972241496. The cubic root of 132894720 is about 510.3121503136.

The spelling of 132894720 in words is "one hundred thirty-two million, eight hundred ninety-four thousand, seven hundred twenty".