150837000138 has 144 divisors (see below), whose sum is σ = 380780906688. Its totient is φ = 42971385600.

The previous prime is 150837000133. The next prime is 150837000163. The reversal of 150837000138 is 831000738051.

150837000138 is a `hidden beast` number, since 150 + 8 + 370 + 0 + 0 + 138 = 666.

It is a super-2 number, since 2×150837000138² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150837000131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45281133 + ... + 45284463.

It is an arithmetic number, because the mean of its divisors is an integer number (2644311852).

Almost surely, 2^150837000138 is an apocalyptic number.

150837000138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150837000138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190390453344).

150837000138 is an abundant number, since it is smaller than the sum of its proper divisors (229943906550).

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

150837000138 is a wasteful number, since it uses less digits than its factorization.

150837000138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 150837000138 its reverse (831000738051), we get a palindrome (981837738189).

The spelling of 150837000138 in words is "one hundred fifty billion, eight hundred thirty-seven million, one hundred thirty-eight", and thus it is an aban number.