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137526377750 = 25310717412953
BaseRepresentation
bin1000000000010100110…
…1011111110100010110
3111010222110010211221022
42000011031133310112
54223123223042000
6143102335321142
712636013631426
oct2000515376426
9433873124838
10137526377750
1153363067133
12227a13801b2
13cc79269ba8
146928cc6486
15389d9a6585
hex200535fd16

137526377750 has 64 divisors (see below), whose sum is σ = 260092752192. Its totient is φ = 54446688000.

The previous prime is 137526377743. The next prime is 137526377789. The reversal of 137526377750 is 57773625731.

It is a junction number, because it is equal to n+sod(n) for n = 137526377692 and 137526377701.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 46570274 + ... + 46573226.

It is an arithmetic number, because the mean of its divisors is an integer number (4063949253).

Almost surely, 2137526377750 is an apocalyptic number.

137526377750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137526377750 is a deficient number, since it is larger than the sum of its proper divisors (122566374442).

137526377750 is a wasteful number, since it uses less digits than its factorization.

137526377750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 6482700, while the sum is 53.

The spelling of 137526377750 in words is "one hundred thirty-seven billion, five hundred twenty-six million, three hundred seventy-seven thousand, seven hundred fifty".

Divisors: 1 2 5 10 25 50 107 125 214 250 535 1070 1741 2675 2953 3482 5350 5906 8705 13375 14765 17410 26750 29530 43525 73825 87050 147650 186287 217625 315971 369125 372574 435250 631942 738250 931435 1579855 1862870 3159710 4657175 5141173 7899275 9314350 10282346 15798550 23285875 25705865 39496375 46571750 51411730 78992750 128529325 257058650 550105511 642646625 1100211022 1285293250 2750527555 5501055110 13752637775 27505275550 68763188875 137526377750