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136152411444 = 223272131253537
BaseRepresentation
bin111111011001101010…
…0001110110100110100
3111000102200210010111100
41332303110032310310
54212320004131234
6142314134410100
712556661254650
oct1766324166464
9430380703440
10136152411444
1152818539995
1222479200930
13caba704c8a
14683862da60
15381d055399
hex1fb350ed34

136152411444 has 72 divisors (see below), whose sum is σ = 393515315648. Its totient is φ = 38882280960.

The previous prime is 136152411433. The next prime is 136152411457. The reversal of 136152411444 is 444114251631.

136152411444 is a `hidden beast` number, since 1 + 3 + 615 + 24 + 1 + 14 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136152411399 and 136152411408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410244 + ... + 663780.

Almost surely, 2136152411444 is an apocalyptic number.

136152411444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136152411444 is an abundant number, since it is smaller than the sum of its proper divisors (257362904204).

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

136152411444 is a wasteful number, since it uses less digits than its factorization.

136152411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255685 (or 255680 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 136152411444 in words is "one hundred thirty-six billion, one hundred fifty-two million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2131 4262 6393 8524 12786 14917 19179 25572 29834 38358 44751 59668 76716 89502 134253 179004 253537 268506 507074 537012 760611 1014148 1521222 1774759 2281833 3042444 3549518 4563666 5324277 7099036 9127332 10648554 15972831 21297108 31945662 63891324 540287347 1080574694 1620862041 2161149388 3241724082 3782011429 4862586123 6483448164 7564022858 9725172246 11346034287 15128045716 19450344492 22692068574 34038102861 45384137148 68076205722 136152411444