151836120 has 224 divisors, whose sum is σ = 528837120. Its totient is φ = 39191040.

The previous prime is 151836107. The next prime is 151836169. The reversal of 151836120 is 21638151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1195497 + ... + 1195623.

It is an arithmetic number, because the mean of its divisors is an integer number (2360880).

Almost surely, 2^151836120 is an apocalyptic number.

151836120 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 151836120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264418560).

151836120 is an abundant number, since it is smaller than the sum of its proper divisors (377001000).

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

151836120 is a wasteful number, since it uses less digits than its factorization.

151836120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 151836120 is about 12322.1800019315. The cubic root of 151836120 is about 533.4884635536.

The spelling of 151836120 in words is "one hundred fifty-one million, eight hundred thirty-six thousand, one hundred twenty".