150116400 has 540 divisors, whose sum is σ = 649436112. Its totient is φ = 31933440.

The previous prime is 150116371. The next prime is 150116411. The reversal of 150116400 is 4611051.

150116400 is a `hidden beast` number, since 1 + 501 + 164 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4057182 + ... + 4057218.

Almost surely, 2^150116400 is an apocalyptic number.

150116400 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 150116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324718056).

150116400 is an abundant number, since it is smaller than the sum of its proper divisors (499319712).

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

150116400 is a wasteful number, since it uses less digits than its factorization.

150116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 150116400 is about 12252.1998024845. The cubic root of 150116400 is about 531.4666862312.

Adding to 150116400 its reverse (4611051), we get a palindrome (154727451).

The spelling of 150116400 in words is "one hundred fifty million, one hundred sixteen thousand, four hundred".