150616800 has 288 divisors, whose sum is σ = 574963200. Its totient is φ = 37946880.

The previous prime is 150616789. The next prime is 150616849. The reversal of 150616800 is 8616051.

150616800 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 (288).

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 47 ways as a sum of consecutive naturals, for example, 410217 + ... + 410583.

It is an arithmetic number, because the mean of its divisors is an integer number (1996400).

Almost surely, 2^150616800 is an apocalyptic number.

150616800 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 150616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287481600).

150616800 is an abundant number, since it is smaller than the sum of its proper divisors (424346400).

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

150616800 is a wasteful number, since it uses less digits than its factorization.

150616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

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

The square root of 150616800 is about 12272.6036357409. The cubic root of 150616800 is about 532.0565639821.

The spelling of 150616800 in words is "one hundred fifty million, six hundred sixteen thousand, eight hundred".