150253040 has 80 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 50776320.

The previous prime is 150253027. The next prime is 150253057. The reversal of 150253040 is 40352051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37871 + ... + 41649.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2^150253040 is an apocalyptic number.

150253040 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 150253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

150253040 is an abundant number, since it is smaller than the sum of its proper divisors (254721040).

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

150253040 is a wasteful number, since it uses less digits than its factorization.

150253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 150253040 is about 12257.7746756905. The cubic root of 150253040 is about 531.6278891059.

The spelling of 150253040 in words is "one hundred fifty million, two hundred fifty-three thousand, forty".