135206136433632 has 96 divisors (see below), whose sum is σ = 391531559811840. Its totient is φ = 40511201899520.

The previous prime is 135206136433609. The next prime is 135206136433639. The reversal of 135206136433632 is 236334631602531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×135206136433632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135206136433639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719210028 + ... + 719397995.

It is an arithmetic number, because the mean of its divisors is an integer number (4078453748040).

Almost surely, 2^{135206136433632} is an apocalyptic number.

135206136433632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135206136433632 is an abundant number, since it is smaller than the sum of its proper divisors (256325423378208).

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

135206136433632 is a wasteful number, since it uses less digits than its factorization.

135206136433632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438608136 (or 1438608128 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 48.

The spelling of 135206136433632 in words is "one hundred thirty-five trillion, two hundred six billion, one hundred thirty-six million, four hundred thirty-three thousand, six hundred thirty-two".