136765543573032 has 256 divisors, whose sum is σ = 379996323840000. Its totient is φ = 40671932716800.

The previous prime is 136765543573027. The next prime is 136765543573039. The reversal of 136765543573032 is 230375345567631.

It is a happy number.

It is a super-2 number, since 2×136765543573032² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (136765543573039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13542478719 + ... + 13542488817.

It is an arithmetic number, because the mean of its divisors is an integer number (1484360640000).

Almost surely, 2^{136765543573032} is an apocalyptic number.

136765543573032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136765543573032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189998161920000).

136765543573032 is an abundant number, since it is smaller than the sum of its proper divisors (243230780266968).

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

136765543573032 is a wasteful number, since it uses less digits than its factorization.

136765543573032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13452 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 60.

The spelling of 136765543573032 in words is "one hundred thirty-six trillion, seven hundred sixty-five billion, five hundred forty-three million, five hundred seventy-three thousand, thirty-two".