150861768744960 has 7560 divisors, whose sum is σ = 761770882647720. Its totient is φ = 28381085171712.

The previous prime is 150861768744959. The next prime is 150861768744991. The reversal of 150861768744960 is 69447867168051.

150861768744960 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 6 + 1 + 7 + 68 + 74 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 7940093091831 + ... + 7940093091849.

Almost surely, 2^{150861768744960} is an apocalyptic number.

150861768744960 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 150861768744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380885441323860).

150861768744960 is an abundant number, since it is smaller than the sum of its proper divisors (610909113902760).

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

150861768744960 is a wasteful number, since it uses less digits than its factorization.

150861768744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 150861768744960 in words is "one hundred fifty trillion, eight hundred sixty-one billion, seven hundred sixty-eight million, seven hundred forty-four thousand, nine hundred sixty".