151584132 has 48 divisors (see below), whose sum is σ = 406740992. Its totient is φ = 43040160.

The previous prime is 151584127. The next prime is 151584137. The reversal of 151584132 is 231485151.

It is an interprime number because it is at equal distance from previous prime (151584127) and next prime (151584137).

It is a self number, because there is not a number n which added to its sum of digits gives 151584132.

It is not an unprimeable number, because it can be changed into a prime (151584137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8157 + ... + 19227.

Almost surely, 2^151584132 is an apocalyptic number.

151584132 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 151584132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203370496).

151584132 is an abundant number, since it is smaller than the sum of its proper divisors (255156860).

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

151584132 is a wasteful number, since it uses less digits than its factorization.

151584132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11248 (or 11246 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 151584132 is about 12311.9507796287. The cubic root of 151584132 is about 533.1931734123.

The spelling of 151584132 in words is "one hundred fifty-one million, five hundred eighty-four thousand, one hundred thirty-two".