150121414152 has 160 divisors (see below), whose sum is σ = 435311415000. Its totient is φ = 48277942272.

The previous prime is 150121414139. The next prime is 150121414199. The reversal of 150121414152 is 251414121051.

150121414152 is a `hidden beast` number, since 1 + 501 + 2 + 1 + 4 + 1 + 4 + 152 = 666.

150121414152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 150005937636 + 115476516 = 387306^2 + 10746^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35495974 + ... + 35500202.

Almost surely, 2^150121414152 is an apocalyptic number.

150121414152 is a gapful number since it is divisible by the number (12) 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 150121414152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217655707500).

150121414152 is an abundant number, since it is smaller than the sum of its proper divisors (285190000848).

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

150121414152 is a wasteful number, since it uses less digits than its factorization.

150121414152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 150121414152 in words is "one hundred fifty billion, one hundred twenty-one million, four hundred fourteen thousand, one hundred fifty-two".