151132032 has 96 divisors (see below), whose sum is σ = 438746880. Its totient is φ = 49932288.

The previous prime is 151131983. The next prime is 151132039. The reversal of 151132032 is 230231151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 151131996 and 151132014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151132039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145788 + ... + 146820.

It is an arithmetic number, because the mean of its divisors is an integer number (4570280).

Almost surely, 2^151132032 is an apocalyptic number.

151132032 is a gapful number since it is divisible by the number (12) 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 151132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219373440).

151132032 is an abundant number, since it is smaller than the sum of its proper divisors (287614848).

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

151132032 is a wasteful number, since it uses less digits than its factorization.

151132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 151132032 is about 12293.5768594824. The cubic root of 151132032 is about 532.6625622834.

Adding to 151132032 its reverse (230231151), we get a palindrome (381363183).

The spelling of 151132032 in words is "one hundred fifty-one million, one hundred thirty-two thousand, thirty-two".