151054400 has 84 divisors (see below), whose sum is σ = 424818048. Its totient is φ = 51786240.

The previous prime is 151054391. The next prime is 151054411. The reversal of 151054400 is 4450151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4457 + ... + 17943.

Almost surely, 2^151054400 is an apocalyptic number.

151054400 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 151054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212409024).

151054400 is an abundant number, since it is smaller than the sum of its proper divisors (273763648).

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

151054400 is a wasteful number, since it uses less digits than its factorization.

151054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13516 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 151054400 is about 12290.4190327263. The cubic root of 151054400 is about 532.5713423924.

The spelling of 151054400 in words is "one hundred fifty-one million, fifty-four thousand, four hundred".