150020233272 has 384 divisors, whose sum is σ = 523034496000. Its totient is φ = 39003793920.

The previous prime is 150020233261. The next prime is 150020233277. The reversal of 150020233272 is 272332020051.

It is a happy number.

150020233272 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150020233277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18138354 + ... + 18146622.

It is an arithmetic number, because the mean of its divisors is an integer number (1362069000).

Almost surely, 2^150020233272 is an apocalyptic number.

150020233272 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 150020233272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261517248000).

150020233272 is an abundant number, since it is smaller than the sum of its proper divisors (373014262728).

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

150020233272 is a wasteful number, since it uses less digits than its factorization.

150020233272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 150020233272 in words is "one hundred fifty billion, twenty million, two hundred thirty-three thousand, two hundred seventy-two".