150872160 has 192 divisors, whose sum is σ = 509483520. Its totient is φ = 37416960.

The previous prime is 150872143. The next prime is 150872167. The reversal of 150872160 is 61278051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150872167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647404 + ... + 647636.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^150872160 is an apocalyptic number.

150872160 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 150872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

150872160 is an abundant number, since it is smaller than the sum of its proper divisors (358611360).

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

150872160 is a wasteful number, since it uses less digits than its factorization.

150872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 150872160 is about 12283.0028901731. The cubic root of 150872160 is about 532.3570821464.

The spelling of 150872160 in words is "one hundred fifty million, eight hundred seventy-two thousand, one hundred sixty".