151311120 has 80 divisors (see below), whose sum is σ = 473695872. Its totient is φ = 39951360.

The previous prime is 151311119. The next prime is 151311143. The reversal of 151311120 is 21113151.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 151311120.

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, 21660 + ... + 27780.

Almost surely, 2^151311120 is an apocalyptic number.

151311120 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 151311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236847936).

151311120 is an abundant number, since it is smaller than the sum of its proper divisors (322384752).

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

151311120 is a wasteful number, since it uses less digits than its factorization.

151311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 151311120 is about 12300.8585066246. The cubic root of 151311120 is about 532.8728768822.

Adding to 151311120 its reverse (21113151), we get a palindrome (172424271).

The spelling of 151311120 in words is "one hundred fifty-one million, three hundred eleven thousand, one hundred twenty".