150065540352 has 864 divisors, whose sum is σ = 564559340800. Its totient is φ = 39504568320.

The previous prime is 150065540347. The next prime is 150065540459. The reversal of 150065540352 is 253045560051.

150065540352 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 65 + 540 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×150065540352² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277385202 + ... + 277385742.

Almost surely, 2^150065540352 is an apocalyptic number.

150065540352 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 150065540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282279670400).

150065540352 is an abundant number, since it is smaller than the sum of its proper divisors (414493800448).

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

150065540352 is an frugal number, since it uses more digits than its factorization.

150065540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 150065540352 in words is "one hundred fifty billion, sixty-five million, five hundred forty thousand, three hundred fifty-two".