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136020131089920 = 293357111723163401
BaseRepresentation
bin11110111011010110100111…
…100110001000111000000000
3122211121101201210202011111000
4132323112213212020320000
5120312023212024334140
61201142441404052000
740436062435520130
oct3673264746107000
9584541653664430
10136020131089920
113a3818a4a65480
1213309742834000
135ab88494ca4bc
1425835a3838ac0
1510ad2e0a43a30
hex7bb5a7988e00

136020131089920 has 5120 divisors, whose sum is σ = 671292440248320. Its totient is φ = 25225592832000.

The previous prime is 136020131089901. The next prime is 136020131089939. The reversal of 136020131089920 is 29980131020631.

It is a happy number.

136020131089920 is a `hidden beast` number, since 1 + 3 + 602 + 0 + 1 + 3 + 10 + 8 + 9 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (136020131089901) and next prime (136020131089939).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 339202321720 + ... + 339202322120.

It is an arithmetic number, because the mean of its divisors is an integer number (131111804736).

Almost surely, 2136020131089920 is an apocalyptic number.

136020131089920 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 136020131089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335646220124160).

136020131089920 is an abundant number, since it is smaller than the sum of its proper divisors (535272309158400).

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

136020131089920 is a wasteful number, since it uses less digits than its factorization.

136020131089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 136020131089920 in words is "one hundred thirty-six trillion, twenty billion, one hundred thirty-one million, eighty-nine thousand, nine hundred twenty".