151986432 has 108 divisors (see below), whose sum is σ = 438388944. Its totient is φ = 46725120.

The previous prime is 151986427. The next prime is 151986451. The reversal of 151986432 is 234689151.

151986432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129207 + ... + 130377.

Almost surely, 2^151986432 is an apocalyptic number.

151986432 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 151986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219194472).

151986432 is an abundant number, since it is smaller than the sum of its proper divisors (286402512).

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

151986432 is a wasteful number, since it uses less digits than its factorization.

151986432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1189 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 151986432 is about 12328.2777385976. The cubic root of 151986432 is about 533.6644499414.

It can be divided in two parts, 1519864 and 32, that added together give a triangular number (1519896 = T₁₇₄₃).

The spelling of 151986432 in words is "one hundred fifty-one million, nine hundred eighty-six thousand, four hundred thirty-two".