165737952 has 36 divisors (see below), whose sum is σ = 471318120. Its totient is φ = 55245888.

The previous prime is 165737951. The next prime is 165737993. The reversal of 165737952 is 259737561.

165737952 is a `hidden beast` number, since 1 + 6 + 573 + 79 + 5 + 2 = 666.

165737952 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 165737898 and 165737907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165737951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 287452 + ... + 288027.

It is an arithmetic number, because the mean of its divisors is an integer number (13092170).

Almost surely, 2^165737952 is an apocalyptic number.

165737952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165737952 is an abundant number, since it is smaller than the sum of its proper divisors (305580168).

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

165737952 is a wasteful number, since it uses less digits than its factorization.

165737952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575495 (or 575484 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 165737952 is about 12873.9252755327. The cubic root of 165737952 is about 549.2971208626.

The spelling of 165737952 in words is "one hundred sixty-five million, seven hundred thirty-seven thousand, nine hundred fifty-two".