150391712240 has 320 divisors, whose sum is σ = 451788226560. Its totient is φ = 45199365120.

The previous prime is 150391712221. The next prime is 150391712257. The reversal of 150391712240 is 42217193051.

It is a super-2 number, since 2×150391712240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 150391712240.

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, 20921927 + ... + 20929113.

It is an arithmetic number, because the mean of its divisors is an integer number (1411838208).

Almost surely, 2^150391712240 is an apocalyptic number.

150391712240 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 150391712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225894113280).

150391712240 is an abundant number, since it is smaller than the sum of its proper divisors (301396514320).

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

150391712240 is a wasteful number, since it uses less digits than its factorization.

150391712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 150391712240 in words is "one hundred fifty billion, three hundred ninety-one million, seven hundred twelve thousand, two hundred forty".