136906516433632 has 192 divisors, whose sum is σ = 312384294351360. Its totient is φ = 58372404019200.

The previous prime is 136906516433579. The next prime is 136906516433633. The reversal of 136906516433632 is 236334615609631.

It is a super-2 number, since 2×136906516433632² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136906516433633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2240995407 + ... + 2241056497.

It is an arithmetic number, because the mean of its divisors is an integer number (1627001533080).

Almost surely, 2^{136906516433632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136906516433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156192147175680).

136906516433632 is an abundant number, since it is smaller than the sum of its proper divisors (175477777917728).

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

136906516433632 is a wasteful number, since it uses less digits than its factorization.

136906516433632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62385 (or 62377 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 58.

The spelling of 136906516433632 in words is "one hundred thirty-six trillion, nine hundred six billion, five hundred sixteen million, four hundred thirty-three thousand, six hundred thirty-two".