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137460011536 = 2459215712
BaseRepresentation
bin1000000000000101000…
…0010101001000010000
3111010210211021002121101
42000001100111020100
54223004230332121
6143052005034144
712634246551061
oct2000120251020
9433724232541
10137460011536
1153329658221
12227830b5954
13cc685a1343
14692016c568
153897c47491
hex2001415210

137460011536 has 45 divisors (see below), whose sum is σ = 271091888623. Its totient is φ = 67522082720.

The previous prime is 137460011483. The next prime is 137460011567. The reversal of 137460011536 is 635110064731.

The square root of 137460011536 is 370756.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137460011495 and 137460011504.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87497631 + ... + 87499201.

Almost surely, 2137460011536 is an apocalyptic number.

137460011536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137460011536 is the 370756-th square number.

It is an amenable number.

137460011536 is a deficient number, since it is larger than the sum of its proper divisors (133631877087).

137460011536 is an frugal number, since it uses more digits than its factorization.

137460011536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 137460011536 in words is "one hundred thirty-seven billion, four hundred sixty million, eleven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 59 118 236 472 944 1571 3142 3481 6284 6962 12568 13924 25136 27848 55696 92689 185378 370756 741512 1483024 2468041 4936082 5468651 9872164 10937302 19744328 21874604 39488656 43749208 87498416 145614419 291228838 582457676 1164915352 2329830704 8591250721 17182501442 34365002884 68730005768 137460011536