150971351040 has 560 divisors, whose sum is σ = 550124388000. Its totient is φ = 39749419008.

The previous prime is 150971351033. The next prime is 150971351059. The reversal of 150971351040 is 40153179051.

It is a happy number.

150971351040 is a `hidden beast` number, since 1 + 5 + 0 + 97 + 13 + 510 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 150971350986 and 150971351004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1911029721 + ... + 1911029799.

Almost surely, 2^150971351040 is an apocalyptic number.

150971351040 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 150971351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275062194000).

150971351040 is an abundant number, since it is smaller than the sum of its proper divisors (399153036960).

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

150971351040 is an frugal number, since it uses more digits than its factorization.

150971351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 150971351040 in words is "one hundred fifty billion, nine hundred seventy-one million, three hundred fifty-one thousand, forty".