150982134408 has 512 divisors, whose sum is σ = 518720716800. Its totient is φ = 40210007040.

The previous prime is 150982134397. The next prime is 150982134409. The reversal of 150982134408 is 804431289051.

150982134408 is a `hidden beast` number, since 1 + 509 + 8 + 2 + 134 + 4 + 0 + 8 = 666.

It is a super-3 number, since 3×150982134408³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (150982134409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264416763 + ... + 264417333.

It is an arithmetic number, because the mean of its divisors is an integer number (1013126400).

Almost surely, 2^150982134408 is an apocalyptic number.

150982134408 is a gapful number since it is divisible by the number (18) 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 150982134408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259360358400).

150982134408 is an abundant number, since it is smaller than the sum of its proper divisors (367738582392).

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

150982134408 is a wasteful number, since it uses less digits than its factorization.

150982134408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 150982 and 134408, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 150982134408 in words is "one hundred fifty billion, nine hundred eighty-two million, one hundred thirty-four thousand, four hundred eight".