150940946257920 has 1344 divisors, whose sum is σ = 668318505341760. Its totient is φ = 31846737641472.

The previous prime is 150940946257909. The next prime is 150940946257921. The reversal of 150940946257920 is 29752649049051.

150940946257920 is a `hidden beast` number, since 1 + 50 + 9 + 4 + 0 + 9 + 4 + 6 + 2 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150940946257921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 679200262 + ... + 679422458.

It is an arithmetic number, because the mean of its divisors is an integer number (497260792665).

Almost surely, 2^{150940946257920} is an apocalyptic number.

150940946257920 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 150940946257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334159252670880).

150940946257920 is an abundant number, since it is smaller than the sum of its proper divisors (517377559083840).

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

150940946257920 is an equidigital number, since it uses as much as digits as its factorization.

150940946257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222262 (or 222227 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 150940946257920 in words is "one hundred fifty trillion, nine hundred forty billion, nine hundred forty-six million, two hundred fifty-seven thousand, nine hundred twenty".