150705984 has 168 divisors, whose sum is σ = 472948000. Its totient is φ = 42071040.

The previous prime is 150705941. The next prime is 150706033. The reversal of 150705984 is 489507051.

150705984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150705984² = 45424587226816512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a cake number, because a cake can be divided into 150705984 parts by 967 planar cuts.

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, 301767 + ... + 302265.

Almost surely, 2^150705984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236474000).

150705984 is an abundant number, since it is smaller than the sum of its proper divisors (322242016).

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

150705984 is a wasteful number, since it uses less digits than its factorization.

150705984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 150705984 is about 12276.2365568606. The cubic root of 150705984 is about 532.1615579581.

The spelling of 150705984 in words is "one hundred fifty million, seven hundred five thousand, nine hundred eighty-four".