19077134400 has 189 divisors, whose sum is σ = 67863600493. Its totient is φ = 5082816000.

The previous prime is 19077134389. The next prime is 19077134411. The reversal of 19077134400 is 443177091.

The square root of 19077134400 is 138120.

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

It is an interprime number because it is at equal distance from previous prime (19077134389) and next prime (19077134411).

It can be written as a sum of positive squares in only one way, i.e., 6867768384 + 12209366016 = 82872^2 + 110496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16573825 + ... + 16574975.

Almost surely, 2^19077134400 is an apocalyptic number.

19077134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19077134400 is the 138120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19077134400

19077134400 is an abundant number, since it is smaller than the sum of its proper divisors (48786466093).

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

19077134400 is an equidigital number, since it uses as much as digits as its factorization.

19077134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Multiplying 19077134400 by its sum of digits (36), we get a square (686776838400 = 828720²).

19077134400 divided by its sum of digits (36) gives a square (529920400 = 23020²).

The spelling of 19077134400 in words is "nineteen billion, seventy-seven million, one hundred thirty-four thousand, four hundred".