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136934752 = 2529415961
BaseRepresentation
bin10000010100101…
…11010101100000
3100112200000011111
420022113111200
5240023403002
621330553104
73251632453
oct1012272540
9315600144
10136934752
1170329119
1239a38794
13224a60a6
141428749a
15c04d3d7
hex8297560

136934752 has 96 divisors (see below), whose sum is σ = 295293600. Its totient is φ = 62361600.

The previous prime is 136934737. The next prime is 136934761. The reversal of 136934752 is 257439631.

It is a happy number.

It is a super-2 number, since 2×1369347522 = 37502252610603008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2244802 + ... + 2244862.

It is an arithmetic number, because the mean of its divisors is an integer number (3075975).

Almost surely, 2136934752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136934752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147646800).

136934752 is an abundant number, since it is smaller than the sum of its proper divisors (158358848).

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

136934752 is a wasteful number, since it uses less digits than its factorization.

136934752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its digits is 136080, while the sum is 40.

The square root of 136934752 is about 11701.9123223514. The cubic root of 136934752 is about 515.4318205610.

The spelling of 136934752 in words is "one hundred thirty-six million, nine hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 41 58 59 61 82 116 118 122 164 232 236 244 328 464 472 488 656 928 944 976 1189 1312 1711 1769 1888 1952 2378 2419 2501 3422 3538 3599 4756 4838 5002 6844 7076 7198 9512 9676 10004 13688 14152 14396 19024 19352 20008 27376 28304 28792 38048 38704 40016 54752 56608 57584 70151 72529 77408 80032 104371 115168 140302 145058 147559 208742 280604 290116 295118 417484 561208 580232 590236 834968 1122416 1160464 1180472 1669936 2244832 2320928 2360944 3339872 4279211 4721888 8558422 17116844 34233688 68467376 136934752