150854400 has 324 divisors, whose sum is σ = 565080152. Its totient is φ = 39813120.

The previous prime is 150854387. The next prime is 150854423. The reversal of 150854400 is 4458051.

150854400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (324).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1555152 + ... + 1555248.

Almost surely, 2^150854400 is an apocalyptic number.

150854400 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 150854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282540076).

150854400 is an abundant number, since it is smaller than the sum of its proper divisors (414225752).

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

150854400 is an frugal number, since it uses more digits than its factorization.

150854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 150854400 is about 12282.2799186470. The cubic root of 150854400 is about 532.3361924237.

The spelling of 150854400 in words is "one hundred fifty million, eight hundred fifty-four thousand, four hundred".