150956880 has 80 divisors (see below), whose sum is σ = 470535360. Its totient is φ = 40034304.

The previous prime is 150956873. The next prime is 150956891. The reversal of 150956880 is 88659051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44691 + ... + 47949.

It is an arithmetic number, because the mean of its divisors is an integer number (5881692).

Almost surely, 2^150956880 is an apocalyptic number.

150956880 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 150956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235267680).

150956880 is an abundant number, since it is smaller than the sum of its proper divisors (319578480).

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

150956880 is a wasteful number, since it uses less digits than its factorization.

150956880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 150956880 is about 12286.4510742525. The cubic root of 150956880 is about 532.4567092140.

The spelling of 150956880 in words is "one hundred fifty million, nine hundred fifty-six thousand, eight hundred eighty".