135767761400 has 48 divisors (see below), whose sum is σ = 323000997000. Its totient is φ = 53044145280.

The previous prime is 135767761397. The next prime is 135767761411. The reversal of 135767761400 is 4167767531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7884875 + ... + 7902074.

Almost surely, 2^135767761400 is an apocalyptic number.

135767761400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135767761400 is an abundant number, since it is smaller than the sum of its proper divisors (187233235600).

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

135767761400 is a wasteful number, since it uses less digits than its factorization.

135767761400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15787008 (or 15786999 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 135767761400 in words is "one hundred thirty-five billion, seven hundred sixty-seven million, seven hundred sixty-one thousand, four hundred".