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136148528 = 24193114447
BaseRepresentation
bin10000001110101…
…11011000110000
3100111012001200002
420013113120300
5234323223103
621302045132
73242146325
oct1007273060
9314161602
10136148528
116a94144a
12397197a8
132228c279
1414120b4c
15be45488
hex81d7630

136148528 has 40 divisors (see below), whose sum is σ = 286648320. Its totient is φ = 62406720.

The previous prime is 136148527. The next prime is 136148531. The reversal of 136148528 is 825841631.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 136148491 and 136148500.

It is not an unprimeable number, because it can be changed into a prime (136148527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2201 + ... + 16647.

It is an arithmetic number, because the mean of its divisors is an integer number (7166208).

Almost surely, 2136148528 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 136148528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143324160).

136148528 is an abundant number, since it is smaller than the sum of its proper divisors (150499792).

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

136148528 is a wasteful number, since it uses less digits than its factorization.

136148528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14505 (or 14499 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 136148528 is about 11668.2701374283. The cubic root of 136148528 is about 514.4434594881.

The spelling of 136148528 in words is "one hundred thirty-six million, one hundred forty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 9424 14447 28894 57788 115576 231152 274493 447857 548986 895714 1097972 1791428 2195944 3582856 4391888 7165712 8509283 17018566 34037132 68074264 136148528