135770140900 has 27 divisors (see below), whose sum is σ = 294629201769. Its totient is φ = 54306582480.

The previous prime is 135770140873. The next prime is 135770140903. The reversal of 135770140900 is 9041077531.

The square root of 135770140900 is 368470.

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

It can be written as a sum of positive squares in only one way, i.e., 48877250724 + 86892890176 = 221082^2 + 294776^2 .

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 135770140900.

It is not an unprimeable number, because it can be changed into a prime (135770140903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3666277 + ... + 3703123.

Almost surely, 2^135770140900 is an apocalyptic number.

135770140900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135770140900 is the 368470-th square number.

It is an amenable number.

135770140900 is an abundant number, since it is smaller than the sum of its proper divisors (158859060869).

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

135770140900 is an frugal number, since it uses more digits than its factorization.

135770140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73708 (or 36854 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 135770140900 in words is "one hundred thirty-five billion, seven hundred seventy million, one hundred forty thousand, nine hundred".