172138883400 has 720 divisors, whose sum is σ = 662985574020. Its totient is φ = 41361408000.

The previous prime is 172138883383. The next prime is 172138883429. The reversal of 172138883400 is 4388831271.

172138883400 is a `hidden beast` number, since 17 + 213 + 8 + 88 + 340 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 109205133444 + 62933749956 = 330462^2 + 250866^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 268547080 + ... + 268547720.

Almost surely, 2^172138883400 is an apocalyptic number.

172138883400 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 172138883400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331492787010).

172138883400 is an abundant number, since it is smaller than the sum of its proper divisors (490846690620).

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

172138883400 is a wasteful number, since it uses less digits than its factorization.

172138883400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 172138883400 in words is "one hundred seventy-two billion, one hundred thirty-eight million, eight hundred eighty-three thousand, four hundred".