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137353254544 = 2411284232
BaseRepresentation
bin111111111101011100…
…1000101011010010000
3111010112101101021112201
41333322321011122100
54222244413121134
6143033232532544
712631512254152
oct1777271053220
9433471337481
10137353254544
1153284371100
12227533b1154
13cc4c43311c
14690dcdcad2
15388d6aa914
hex1ffae45690

137353254544 has 45 divisors (see below), whose sum is σ = 292548920419. Its totient is φ = 62425885280.

The previous prime is 137353254523. The next prime is 137353254581. The reversal of 137353254544 is 445452353731.

The square root of 137353254544 is 370612.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137353254494 and 137353254503.

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, 16302717 + ... + 16311139.

Almost surely, 2137353254544 is an apocalyptic number.

137353254544 is the 370612-nd square number.

It is an amenable number.

137353254544 is an abundant number, since it is smaller than the sum of its proper divisors (155195665875).

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

137353254544 is an frugal number, since it uses more digits than its factorization.

137353254544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876 (or 8436 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 46.

The spelling of 137353254544 in words is "one hundred thirty-seven billion, three hundred fifty-three million, two hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 8423 16846 33692 67384 92653 134768 185306 370612 741224 1019183 1482448 2038366 4076732 8153464 16306928 70946929 141893858 283787716 567575432 780416219 1135150864 1560832438 3121664876 6243329752 8584578409 12486659504 17169156818 34338313636 68676627272 137353254544