151645536072 has 112 divisors (see below), whose sum is σ = 429564476880. Its totient is φ = 50162392800.

The previous prime is 151645536061. The next prime is 151645536079. The reversal of 151645536072 is 270635546151.

151645536072 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 45 + 536 + 0 + 72 = 666.

It is a super-2 number, since 2×151645536072² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151645536079) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 664747 + ... + 863237.

It is an arithmetic number, because the mean of its divisors is an integer number (3835397115).

Almost surely, 2^151645536072 is an apocalyptic number.

151645536072 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 151645536072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214782238440).

151645536072 is an abundant number, since it is smaller than the sum of its proper divisors (277918940808).

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

151645536072 is a wasteful number, since it uses less digits than its factorization.

151645536072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198646 (or 198627 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 151645536072 in words is "one hundred fifty-one billion, six hundred forty-five million, five hundred thirty-six thousand, seventy-two".