136542905640960 has 576 divisors, whose sum is σ = 547238442441600. Its totient is φ = 28809048489984.

The previous prime is 136542905640943. The next prime is 136542905640961. The reversal of 136542905640960 is 69046509245631.

It is a super-2 number, since 2×136542905640960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 136542905640894 and 136542905640903.

It is not an unprimeable number, because it can be changed into a prime (136542905640961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16079821 + ... + 23057459.

It is an arithmetic number, because the mean of its divisors is an integer number (950066740350).

Almost surely, 2^{136542905640960} is an apocalyptic number.

136542905640960 is a gapful number since it is divisible by the number (10) 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 136542905640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273619221220800).

136542905640960 is an abundant number, since it is smaller than the sum of its proper divisors (410695536800640).

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

136542905640960 is a wasteful number, since it uses less digits than its factorization.

136542905640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977696 (or 6977669 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 60.

The spelling of 136542905640960 in words is "one hundred thirty-six trillion, five hundred forty-two billion, nine hundred five million, six hundred forty thousand, nine hundred sixty".