151167120 has 120 divisors (see below), whose sum is σ = 507574656. Its totient is φ = 37200384.

The previous prime is 151167119. The next prime is 151167127. The reversal of 151167120 is 21761151.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (151167127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38697 + ... + 42423.

Almost surely, 2^151167120 is an apocalyptic number.

151167120 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 151167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253787328).

151167120 is an abundant number, since it is smaller than the sum of its proper divisors (356407536).

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

151167120 is a wasteful number, since it uses less digits than its factorization.

151167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 151167120 is about 12295.0038633585. The cubic root of 151167120 is about 532.7037814688.

The spelling of 151167120 in words is "one hundred fifty-one million, one hundred sixty-seven thousand, one hundred twenty".