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137697936720 = 2435573741403
BaseRepresentation
bin1000000000111101101…
…1111100010101010000
3111011102101221221121020
42000033123330111100
54224001132433340
6143131344355440
712643166102361
oct2001733742520
9434371857536
10137697936720
1153440993a03
122282a915b80
13cca5976986
1469439c3b68
1538ada939d0
hex200f6fc550

137697936720 has 40 divisors (see below), whose sum is σ = 426863604576. Its totient is φ = 36719449728.

The previous prime is 137697936683. The next prime is 137697936721. The reversal of 137697936720 is 27639796731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137697936721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286870462 + ... + 286870941.

Almost surely, 2137697936720 is an apocalyptic number.

137697936720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137697936720 is an abundant number, since it is smaller than the sum of its proper divisors (289165667856).

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

137697936720 is a wasteful number, since it uses less digits than its factorization.

137697936720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573741419 (or 573741413 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 60.

The spelling of 137697936720 in words is "one hundred thirty-seven billion, six hundred ninety-seven million, nine hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 573741403 1147482806 1721224209 2294965612 2868707015 3442448418 4589931224 5737414030 6884896836 8606121045 9179862448 11474828060 13769793672 17212242090 22949656120 27539587344 34424484180 45899312240 68848968360 137697936720