150407136 has 144 divisors (see below), whose sum is σ = 470918448. Its totient is φ = 45158400.

The previous prime is 150407111. The next prime is 150407149. The reversal of 150407136 is 631704051.

150407136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623976 + ... + 624216.

It is an arithmetic number, because the mean of its divisors is an integer number (3270267).

Almost surely, 2^150407136 is an apocalyptic number.

150407136 is a gapful number since it is divisible by the number (16) 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 150407136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235459224).

150407136 is an abundant number, since it is smaller than the sum of its proper divisors (320511312).

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

150407136 is a wasteful number, since it uses less digits than its factorization.

150407136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 150407136 is about 12264.0587082744. The cubic root of 150407136 is about 531.8095687167.

The spelling of 150407136 in words is "one hundred fifty million, four hundred seven thousand, one hundred thirty-six".