151468632 has 96 divisors (see below), whose sum is σ = 472212000. Its totient is φ = 42964992.

The previous prime is 151468613. The next prime is 151468663. The reversal of 151468632 is 236864151.

It is a happy number.

151468632 is a `hidden beast` number, since 1 + 5 + 14 + 6 + 8 + 632 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 74088 + ... + 76104.

It is an arithmetic number, because the mean of its divisors is an integer number (4918875).

Almost surely, 2^151468632 is an apocalyptic number.

151468632 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 151468632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236106000).

151468632 is an abundant number, since it is smaller than the sum of its proper divisors (320743368).

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

151468632 is a wasteful number, since it uses less digits than its factorization.

151468632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2178 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 151468632 is about 12307.2593212299. The cubic root of 151468632 is about 533.0577162712.

It can be divided in two parts, 151468 and 632, that added together give a square (152100 = 390²).

The spelling of 151468632 in words is "one hundred fifty-one million, four hundred sixty-eight thousand, six hundred thirty-two".