150656115456000 has 6144 divisors, whose sum is σ = 738275586048000. Its totient is φ = 29392699392000.

The previous prime is 150656115455981. The next prime is 150656115456017. The reversal of 150656115456000 is 654511656051.

150656115456000 is a `hidden beast` number, since 1 + 50 + 6 + 56 + 1 + 1 + 545 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 663683327887 + ... + 663683328113.

It is an arithmetic number, because the mean of its divisors is an integer number (120162042000).

Almost surely, 2^{150656115456000} is an apocalyptic number.

150656115456000 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 150656115456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369137793024000).

150656115456000 is an abundant number, since it is smaller than the sum of its proper divisors (587619470592000).

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

150656115456000 is a wasteful number, since it uses less digits than its factorization.

150656115456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 150656115456000 in words is "one hundred fifty trillion, six hundred fifty-six billion, one hundred fifteen million, four hundred fifty-six thousand".