166154064400 has 135 divisors (see below), whose sum is σ = 405491433141. Its totient is φ = 65427901440.

The previous prime is 166154064367. The next prime is 166154064409. The reversal of 166154064400 is 4460451661.

The square root of 166154064400 is 407620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 75345858064 + 90808206336 = 274492^2 + 301344^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 166154064400.

It is not an unprimeable number, because it can be changed into a prime (166154064409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 725563486 + ... + 725563714.

Almost surely, 2^166154064400 is an apocalyptic number.

166154064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166154064400 is the 407620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166154064400

166154064400 is an abundant number, since it is smaller than the sum of its proper divisors (239337368741).

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

166154064400 is an frugal number, since it uses more digits than its factorization.

166154064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 166154064400 in words is "one hundred sixty-six billion, one hundred fifty-four million, sixty-four thousand, four hundred".