150377472000 has 1680 divisors, whose sum is σ = 669825770328. Its totient is φ = 33443020800.

The previous prime is 150377471987. The next prime is 150377472017. The reversal of 150377472000 is 274773051.

150377472000 is a `hidden beast` number, since 150 + 37 + 7 + 472 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77399691264 + 72977780736 = 278208^2 + 270144^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×150377472000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4064255982 + ... + 4064256018.

Almost surely, 2^150377472000 is an apocalyptic number.

150377472000 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 150377472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334912885164).

150377472000 is an abundant number, since it is smaller than the sum of its proper divisors (519448298328).

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

150377472000 is an frugal number, since it uses more digits than its factorization.

150377472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 150377472000 in words is "one hundred fifty billion, three hundred seventy-seven million, four hundred seventy-two thousand".