151532535484512 has 3072 divisors, whose sum is σ = 608897079705600. Its totient is φ = 35550886625280.

The previous prime is 151532535484507. The next prime is 151532535484523. The reversal of 151532535484512 is 215484535235151.

151532535484512 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 3 + 2 + 53 + 548 + 45 + 1 + 2 = 666.

151532535484512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 511 ways as a sum of consecutive naturals, for example, 262621378368 + ... + 262621378944.

It is an arithmetic number, because the mean of its divisors is an integer number (198208684800).

Almost surely, 2^{151532535484512} is an apocalyptic number.

151532535484512 is a gapful number since it is divisible by the number (12) 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 151532535484512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304448539852800).

151532535484512 is an abundant number, since it is smaller than the sum of its proper divisors (457364544221088).

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

151532535484512 is a wasteful number, since it uses less digits than its factorization.

151532535484512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 812 counting only the distinct ones).

The product of its digits is 14400000, while the sum is 54.

The spelling of 151532535484512 in words is "one hundred fifty-one trillion, five hundred thirty-two billion, five hundred thirty-five million, four hundred eighty-four thousand, five hundred twelve".