136849901760 has 1344 divisors, whose sum is σ = 593469886464. Its totient is φ = 29561241600.

The previous prime is 136849901737. The next prime is 136849901779. The reversal of 136849901760 is 67109948631.

136849901760 is a `hidden beast` number, since 136 + 8 + 499 + 0 + 17 + 6 + 0 = 666.

It is a super-2 number, since 2×136849901760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 136849901697 and 136849901706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 344709882 + ... + 344710278.

It is an arithmetic number, because the mean of its divisors is an integer number (441569856).

Almost surely, 2^136849901760 is an apocalyptic number.

136849901760 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 136849901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296734943232).

136849901760 is an abundant number, since it is smaller than the sum of its proper divisors (456619984704).

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

136849901760 is a wasteful number, since it uses less digits than its factorization.

136849901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 136849901760 in words is "one hundred thirty-six billion, eight hundred forty-nine million, nine hundred one thousand, seven hundred sixty".