135654542536131 has 128 divisors (see below), whose sum is σ = 208135618560000. Its totient is φ = 87256886808960.

The previous prime is 135654542536081. The next prime is 135654542536133. The reversal of 135654542536131 is 131635245456531.

135654542536131 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 5 + 4 + 542 + 5 + 3 + 61 + 31 = 666.

It is not a de Polignac number, because 135654542536131 - 2⁷ = 135654542536003 is a prime.

It is a super-2 number, since 2×135654542536131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135654542536133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67861200870 + ... + 67861202868.

It is an arithmetic number, because the mean of its divisors is an integer number (1626059520000).

Almost surely, 2^{135654542536131} is an apocalyptic number.

135654542536131 is a deficient number, since it is larger than the sum of its proper divisors (72481076023869).

135654542536131 is a wasteful number, since it uses less digits than its factorization.

135654542536131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3360 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 135654542536131 in words is "one hundred thirty-five trillion, six hundred fifty-four billion, five hundred forty-two million, five hundred thirty-six thousand, one hundred thirty-one".