150986687040 has 672 divisors, whose sum is σ = 621905385600. Its totient is φ = 34383605760.

The previous prime is 150986687011. The next prime is 150986687057. The reversal of 150986687040 is 40786689051.

150986687040 is a `hidden beast` number, since 1 + 509 + 8 + 6 + 68 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160452970 + ... + 160453910.

Almost surely, 2^150986687040 is an apocalyptic number.

150986687040 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 150986687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310952692800).

150986687040 is an abundant number, since it is smaller than the sum of its proper divisors (470918698560).

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

150986687040 is a wasteful number, since it uses less digits than its factorization.

150986687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1337 counting only the distinct ones).

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

The spelling of 150986687040 in words is "one hundred fifty billion, nine hundred eighty-six million, six hundred eighty-seven thousand, forty".