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136830042755140 = 2257173179199311779
BaseRepresentation
bin11111000111001000111010…
…000101111101000001000100
3122221110211020221102200001111
4133013020322011331001010
5120413310411421131030
61203002504233534404
740551434005215250
oct3707107205750104
9587424227380044
10136830042755140
113a664327a8aa29
121341a6b4574404
135b4702ca76327
1425b08762cb260
1510c43e409562a
hex7c723a17d044

136830042755140 has 384 divisors, whose sum is σ = 363682322841600. Its totient is φ = 42163626885120.

The previous prime is 136830042754981. The next prime is 136830042755201. The reversal of 136830042755140 is 41557240038631.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11616433771 + ... + 11616445549.

It is an arithmetic number, because the mean of its divisors is an integer number (947089382400).

Almost surely, 2136830042755140 is an apocalyptic number.

136830042755140 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 136830042755140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181841161420800).

136830042755140 is an abundant number, since it is smaller than the sum of its proper divisors (226852280086460).

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

136830042755140 is a wasteful number, since it uses less digits than its factorization.

136830042755140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13915 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 136830042755140 in words is "one hundred thirty-six trillion, eight hundred thirty billion, forty-two million, seven hundred fifty-five thousand, one hundred forty".