136980270252 has 432 divisors, whose sum is σ = 461558103552. Its totient is φ = 33370444800.

The previous prime is 136980270221. The next prime is 136980270257. The reversal of 136980270252 is 252072089631.

It is a super-2 number, since 2×136980270252² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136980270198 and 136980270207.

It is not an unprimeable number, because it can be changed into a prime (136980270257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35568127 + ... + 35571977.

It is an arithmetic number, because the mean of its divisors is an integer number (1068421536).

Almost surely, 2^136980270252 is an apocalyptic number.

136980270252 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 136980270252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230779051776).

136980270252 is an abundant number, since it is smaller than the sum of its proper divisors (324577833300).

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

136980270252 is a wasteful number, since it uses less digits than its factorization.

136980270252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 136980270252 in words is "one hundred thirty-six billion, nine hundred eighty million, two hundred seventy thousand, two hundred fifty-two".