136377050880 has 864 divisors, whose sum is σ = 548277327360. Its totient is φ = 28705259520.

The previous prime is 136377050879. The next prime is 136377050881. The reversal of 136377050880 is 88050773631.

It is an interprime number because it is at equal distance from previous prime (136377050879) and next prime (136377050881).

It is a super-2 number, since 2×136377050880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136377050881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132275965 + ... + 132276995.

It is an arithmetic number, because the mean of its divisors is an integer number (634580240).

Almost surely, 2^136377050880 is an apocalyptic number.

136377050880 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 136377050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274138663680).

136377050880 is an abundant number, since it is smaller than the sum of its proper divisors (411900276480).

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

136377050880 is a wasteful number, since it uses less digits than its factorization.

136377050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 136377050880 in words is "one hundred thirty-six billion, three hundred seventy-seven million, fifty thousand, eight hundred eighty".