151314120 has 48 divisors (see below), whose sum is σ = 491772060. Its totient is φ = 40350336.

The previous prime is 151314109. The next prime is 151314133. The reversal of 151314120 is 21413151.

It can be written as a sum of positive squares in 2 ways, for example, as 137874564 + 13439556 = 11742^2 + 3666^2 .

It is a super-2 number, since 2×151314120² = 45791925822748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 151314093 and 151314102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209799 + ... + 210518.

Almost surely, 2^151314120 is an apocalyptic number.

151314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151314120 is an abundant number, since it is smaller than the sum of its proper divisors (340457940).

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

151314120 is a wasteful number, since it uses less digits than its factorization.

151314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420334 (or 420327 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 151314120 is about 12300.9804487285. The cubic root of 151314120 is about 532.8763985623.

Adding to 151314120 its reverse (21413151), we get a palindrome (172727271).

The spelling of 151314120 in words is "one hundred fifty-one million, three hundred fourteen thousand, one hundred twenty".