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136751333334000 = 243537113741195121
BaseRepresentation
bin11111000101111111100110…
…101001010101101111110000
3122221012022002112202210102120
4133011333212221111233300
5120411013212313142000
61202502410101514240
740542646344165240
oct3705774651255760
9587168075683376
10136751333334000
113a633a07626950
12134073a8a12980
135b3c79812b258
1425aab2aaddb20
1510c23390556a0
hex7c5fe6a55bf0

136751333334000 has 1280 divisors, whose sum is σ = 578304594137088. Its totient is φ = 26973388800000.

The previous prime is 136751333333987. The next prime is 136751333334043. The reversal of 136751333334000 is 433333157631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 700756440 + ... + 700951560.

Almost surely, 2136751333334000 is an apocalyptic number.

136751333334000 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 136751333334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289152297068544).

136751333334000 is an abundant number, since it is smaller than the sum of its proper divisors (441553260803088).

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

136751333334000 is a wasteful number, since it uses less digits than its factorization.

136751333334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195243 (or 195227 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 42.

The spelling of 136751333334000 in words is "one hundred thirty-six trillion, seven hundred fifty-one billion, three hundred thirty-three million, three hundred thirty-four thousand".