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137660113920 = 2103573172953
BaseRepresentation
bin1000000000110100101…
…1101010010000000000
3111011022202210100110210
42000031023222100000
54223411442121140
6143123513554120
712642226443000
oct2001513522000
9434282710423
10137660113920
115342160009a
122281a115940
13cc9ab93114
14693c97a000
1538aa5c1d80
hex200d2ea400

137660113920 has 1408 divisors, whose sum is σ = 573028992000. Its totient is φ = 28053602304.

The previous prime is 137660113879. The next prime is 137660113933. The reversal of 137660113920 is 29311066731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2597360614 + ... + 2597360666.

Almost surely, 2137660113920 is an apocalyptic number.

137660113920 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 137660113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286514496000).

137660113920 is an abundant number, since it is smaller than the sum of its proper divisors (435368878080).

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

137660113920 is a wasteful number, since it uses less digits than its factorization.

137660113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 137660113920 in words is "one hundred thirty-seven billion, six hundred sixty million, one hundred thirteen thousand, nine hundred twenty".