151100880 has 160 divisors (see below), whose sum is σ = 545750784. Its totient is φ = 33865728.

The previous prime is 151100861. The next prime is 151100891. The reversal of 151100880 is 88001151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 151100880.

It is a congruent number.

It is an unprimeable number.

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, 88192 + ... + 89888.

Almost surely, 2^151100880 is an apocalyptic number.

151100880 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 151100880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272875392).

151100880 is an abundant number, since it is smaller than the sum of its proper divisors (394649904).

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

151100880 is a wasteful number, since it uses less digits than its factorization.

151100880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

The square root of 151100880 is about 12292.3097910848. The cubic root of 151100880 is about 532.6259615174.

The spelling of 151100880 in words is "one hundred fifty-one million, one hundred thousand, eight hundred eighty".