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137885703321600 = 211345213172331211
BaseRepresentation
bin11111010110100000000100…
…010111011011100000000000
3200002012202002202000211120000
4133112200010113123200000
5121033104410022242400
61205131452335320000
741020625161040253
oct3726400427334000
9602182082024500
10137885703321600
113aa30aa8941273
121356b20b080000
135bc2748753aa0
1426099bcb5709a
1510e1acc0db600
hex7d68045db800

137885703321600 has 5760 divisors, whose sum is σ = 630229302743040. Its totient is φ = 29429858304000.

The previous prime is 137885703321517. The next prime is 137885703321601. The reversal of 137885703321600 is 6123307588731.

It is a happy number.

137885703321600 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 8 + 5 + 7 + 0 + 3 + 3 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137885703321601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 653486745495 + ... + 653486745705.

It is an arithmetic number, because the mean of its divisors is an integer number (109414809504).

Almost surely, 2137885703321600 is an apocalyptic number.

137885703321600 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 137885703321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315114651371520).

137885703321600 is an abundant number, since it is smaller than the sum of its proper divisors (492343599421440).

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

137885703321600 is a wasteful number, since it uses less digits than its factorization.

137885703321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 137885703321600 in words is "one hundred thirty-seven trillion, eight hundred eighty-five billion, seven hundred three million, three hundred twenty-one thousand, six hundred".