151153200 has 270 divisors, whose sum is σ = 578226012. Its totient is φ = 36537600.

The previous prime is 151153169. The next prime is 151153237. The reversal of 151153200 is 2351151.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435427 + ... + 435773.

Almost surely, 2^151153200 is an apocalyptic number.

151153200 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 151153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289113006).

151153200 is an abundant number, since it is smaller than the sum of its proper divisors (427072812).

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

151153200 is a wasteful number, since it uses less digits than its factorization.

151153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 368 counting only the distinct ones).

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

The square root of 151153200 is about 12294.4377667301. The cubic root of 151153200 is about 532.6874298877.

It can be divided in two parts, 151 and 153200, that added together give a palindrome (153351).

The spelling of 151153200 in words is "one hundred fifty-one million, one hundred fifty-three thousand, two hundred".