165081142512 has 240 divisors, whose sum is σ = 547846685568. Its totient is φ = 45744376320.

The previous prime is 165081142453. The next prime is 165081142529. The reversal of 165081142512 is 215241180561.

165081142512 is a `hidden beast` number, since 1 + 6 + 50 + 81 + 14 + 2 + 512 = 666.

It is a super-2 number, since 2×165081142512² (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 47 ways as a sum of consecutive naturals, for example, 2165883 + ... + 2240805.

Almost surely, 2^165081142512 is an apocalyptic number.

165081142512 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 165081142512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273923342784).

165081142512 is an abundant number, since it is smaller than the sum of its proper divisors (382765543056).

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

165081142512 is a wasteful number, since it uses less digits than its factorization.

165081142512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75068 (or 75059 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 165081142512 in words is "one hundred sixty-five billion, eighty-one million, one hundred forty-two thousand, five hundred twelve".