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137753536377 = 3674871407271
BaseRepresentation
bin1000000001001011000…
…0000010011101111001
3111011120021120200222210
42000102300002131321
54224104401131002
6143141052205333
712644442511452
oct2002260023571
9434507520883
10137753536377
115346a309836
1222845469849
13ccb4342a92
14694b138129
1538b38c796c
hex2012c02779

137753536377 has 16 divisors (see below), whose sum is σ = 186795656192. Its totient is φ = 90279185040.

The previous prime is 137753536369. The next prime is 137753536397. The reversal of 137753536377 is 773635357731.

It is a happy number.

It is not a de Polignac number, because 137753536377 - 23 = 137753536369 is a prime.

It is a super-2 number, since 2×1377535363772 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137753536307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605749 + ... + 801522.

It is an arithmetic number, because the mean of its divisors is an integer number (11674728512).

Almost surely, 2137753536377 is an apocalyptic number.

It is an amenable number.

137753536377 is a deficient number, since it is larger than the sum of its proper divisors (49042119815).

137753536377 is a wasteful number, since it uses less digits than its factorization.

137753536377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407828.

The product of its digits is 29172150, while the sum is 57.

The spelling of 137753536377 in words is "one hundred thirty-seven billion, seven hundred fifty-three million, five hundred thirty-six thousand, three hundred seventy-seven".

Divisors: 1 3 67 201 487 1461 32629 97887 1407271 4221813 94287157 282861471 685340977 2056022931 45917845459 137753536377