135497610000 has 375 divisors, whose sum is σ = 491255982921. Its totient is φ = 36044352000.

The previous prime is 135497609993. The next prime is 135497610029. The reversal of 135497610000 is 16794531.

The square root of 135497610000 is 368100.

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

135497610000 is a `hidden beast` number, since 1 + 3 + 549 + 7 + 6 + 100 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 40889692944 + 94607917056 = 202212^2 + 307584^2 .

It is a tau number, because it is divible by the number of its divisors (375).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 331289796 + ... + 331290204.

Almost surely, 2^135497610000 is an apocalyptic number.

135497610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135497610000 is the 368100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135497610000

135497610000 is an abundant number, since it is smaller than the sum of its proper divisors (355758372921).

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

135497610000 is an frugal number, since it uses more digits than its factorization.

135497610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 135497610000 by its sum of digits (36), we get a square (4877913960000 = 2208600²).

135497610000 divided by its sum of digits (36) gives a square (3763822500 = 61350²).

The spelling of 135497610000 in words is "one hundred thirty-five billion, four hundred ninety-seven million, six hundred ten thousand".