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137880320760 = 233257134208801
BaseRepresentation
bin1000000001101001001…
…1101011101011111000
3111011220010011000110200
42000122103223223320
54224334330231020
6143201421442200
712650542250310
oct2003223535370
9434803130420
10137880320760
1153524934816
122287ba10360
13100046a3a20
14695dcdc440
1538beabd590
hex201a4ebaf8

137880320760 has 192 divisors, whose sum is σ = 551521414080. Its totient is φ = 29091225600.

The previous prime is 137880320749. The next prime is 137880320761. The reversal of 137880320760 is 67023088731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137880320761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2071641 + ... + 2137160.

It is an arithmetic number, because the mean of its divisors is an integer number (2872507365).

Almost surely, 2137880320760 is an apocalyptic number.

137880320760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137880320760 is an abundant number, since it is smaller than the sum of its proper divisors (413641093320).

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

137880320760 is a wasteful number, since it uses less digits than its factorization.

137880320760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208838 (or 4208831 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 137880320760 in words is "one hundred thirty-seven billion, eight hundred eighty million, three hundred twenty thousand, seven hundred sixty".