150938721648 has 400 divisors, whose sum is σ = 520508685312. Its totient is φ = 41622336000.

The previous prime is 150938721643. The next prime is 150938721683. The reversal of 150938721648 is 846127839051.

150938721648 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 387 + 216 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 150938721594 and 150938721603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150938721641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13152553 + ... + 13164023.

It is a 1-persistent number, because it is pandigital, but 2⋅150938721648 = 301877443296 is not.

Almost surely, 2^150938721648 is an apocalyptic number.

150938721648 is a gapful number since it is divisible by the number (18) 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 150938721648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260254342656).

150938721648 is an abundant number, since it is smaller than the sum of its proper divisors (369569963664).

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

150938721648 is a wasteful number, since it uses less digits than its factorization.

150938721648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11586 (or 11571 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 150938721648 in words is "one hundred fifty billion, nine hundred thirty-eight million, seven hundred twenty-one thousand, six hundred forty-eight".