135770520400 has 60 divisors (see below), whose sum is σ = 345376261692. Its totient is φ = 51113605120.

The previous prime is 135770520367. The next prime is 135770520401. The reversal of 135770520400 is 4025077531.

It can be written as a sum of positive squares in 6 ways, for example, as 1597760784 + 134172759616 = 39972^2 + 366296^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135770520401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9976327 + ... + 9989926.

Almost surely, 2^135770520400 is an apocalyptic number.

135770520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135770520400 is an abundant number, since it is smaller than the sum of its proper divisors (209605741292).

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

135770520400 is a wasteful number, since it uses less digits than its factorization.

135770520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19966288 (or 19966277 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

Adding to 135770520400 its reverse (4025077531), we get a palindrome (139795597931).

The spelling of 135770520400 in words is "one hundred thirty-five billion, seven hundred seventy million, five hundred twenty thousand, four hundred".