150836400 has 360 divisors, whose sum is σ = 617054256. Its totient is φ = 33638400.

The previous prime is 150836381. The next prime is 150836429. The reversal of 150836400 is 4638051.

150836400 is a `hidden beast` number, since 15 + 0 + 8 + 3 + 640 + 0 = 666.

150836400 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 (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514654 + ... + 514946.

Almost surely, 2^150836400 is an apocalyptic number.

150836400 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 150836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308527128).

150836400 is an abundant number, since it is smaller than the sum of its proper divisors (466217856).

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

150836400 is a wasteful number, since it uses less digits than its factorization.

150836400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150836400 is about 12281.5471338101. The cubic root of 150836400 is about 532.3150187343.

The spelling of 150836400 in words is "one hundred fifty million, eight hundred thirty-six thousand, four hundred".