150136785900 has 576 divisors, whose sum is σ = 526599628800. Its totient is φ = 36570839040.

The previous prime is 150136785871. The next prime is 150136785943. The reversal of 150136785900 is 9587631051.

It is a happy number.

150136785900 is a `hidden beast` number, since 1 + 50 + 1 + 3 + 6 + 7 + 8 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176009874 + ... + 176010726.

Almost surely, 2^150136785900 is an apocalyptic number.

150136785900 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 150136785900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263299814400).

150136785900 is an abundant number, since it is smaller than the sum of its proper divisors (376462842900).

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

150136785900 is a wasteful number, since it uses less digits than its factorization.

150136785900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 150136785900 in words is "one hundred fifty billion, one hundred thirty-six million, seven hundred eighty-five thousand, nine hundred".