151053120 has 112 divisors (see below), whose sum is σ = 532912320. Its totient is φ = 40278528.

The previous prime is 151053113. The next prime is 151053131. The reversal of 151053120 is 21350151.

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 = 151053093 and 151053102.

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, 102 + ... + 17381.

Almost surely, 2^151053120 is an apocalyptic number.

151053120 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 151053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266456160).

151053120 is an abundant number, since it is smaller than the sum of its proper divisors (381859200).

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

151053120 is a wasteful number, since it uses less digits than its factorization.

151053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17509 (or 17493 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 151053120 is about 12290.3669595338. The cubic root of 151053120 is about 532.5698380928.

It can be divided in two parts, 15105 and 3120, that added together give a square (18225 = 135²).

The spelling of 151053120 in words is "one hundred fifty-one million, fifty-three thousand, one hundred twenty".