165158400 has 480 divisors, whose sum is σ = 657600768. Its totient is φ = 36044800.

The previous prime is 165158387. The next prime is 165158437. The reversal of 165158400 is 4851561.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7180789 + ... + 7180811.

Almost surely, 2^165158400 is an apocalyptic number.

165158400 is a gapful number since it is divisible by the number (10) 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 165158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328800384).

165158400 is an abundant number, since it is smaller than the sum of its proper divisors (492442368).

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

165158400 is a wasteful number, since it uses less digits than its factorization.

165158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 165158400 is about 12851.3968112420. The cubic root of 165158400 is about 548.6561129185.

The spelling of 165158400 in words is "one hundred sixty-five million, one hundred fifty-eight thousand, four hundred".