150152567685120 has 5120 divisors, whose sum is σ = 736650812620800. Its totient is φ = 28252663971840.

The previous prime is 150152567685079. The next prime is 150152567685139. The reversal of 150152567685120 is 21586765251051.

150152567685120 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 5 + 2 + 5 + 67 + 68 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1182303682497 + ... + 1182303682623.

It is an arithmetic number, because the mean of its divisors is an integer number (143877111840).

Almost surely, 2^{150152567685120} is an apocalyptic number.

150152567685120 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 150152567685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368325406310400).

150152567685120 is an abundant number, since it is smaller than the sum of its proper divisors (586498244935680).

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

150152567685120 is a wasteful number, since it uses less digits than its factorization.

150152567685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 150152567685120 in words is "one hundred fifty trillion, one hundred fifty-two billion, five hundred sixty-seven million, six hundred eighty-five thousand, one hundred twenty".