150593040 has 320 divisors, whose sum is σ = 579962880. Its totient is φ = 35665920.

The previous prime is 150593033. The next prime is 150593063. The reversal of 150593040 is 40395051.

150593040 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-3 number, since 3×150593040³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 150592995 and 150593013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870394 + ... + 870566.

It is an arithmetic number, because the mean of its divisors is an integer number (1812384).

Almost surely, 2^150593040 is an apocalyptic number.

150593040 is a gapful number since it is divisible by the number (10) 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 150593040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289981440).

150593040 is an abundant number, since it is smaller than the sum of its proper divisors (429369840).

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

150593040 is a wasteful number, since it uses less digits than its factorization.

150593040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 150593040 is about 12271.6355878098. The cubic root of 150593040 is about 532.0285849679.

The spelling of 150593040 in words is "one hundred fifty million, five hundred ninety-three thousand, forty".