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136921064 = 23729591429
BaseRepresentation
bin10000010100100…
…11111111101000
3100112122022101112
420022103333220
5240022433224
621330405452
73251544530
oct1012237750
9315568345
10136921064
1170319905
1239a30888
132249caa7
14142824c0
15c04930e
hex8293fe8

136921064 has 64 divisors (see below), whose sum is σ = 308880000. Its totient is φ = 55657728.

The previous prime is 136921061. The next prime is 136921091. The reversal of 136921064 is 460129631.

136921064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 136921064.

It is not an unprimeable number, because it can be changed into a prime (136921061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95102 + ... + 96530.

It is an arithmetic number, because the mean of its divisors is an integer number (4826250).

Almost surely, 2136921064 is an apocalyptic number.

136921064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136921064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154440000).

136921064 is an abundant number, since it is smaller than the sum of its proper divisors (171958936).

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

136921064 is a wasteful number, since it uses less digits than its factorization.

136921064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 136921064 is about 11701.3274460635. The cubic root of 136921064 is about 515.4146457977.

The spelling of 136921064 in words is "one hundred thirty-six million, nine hundred twenty-one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 59 116 118 203 232 236 406 413 472 812 826 1429 1624 1652 1711 2858 3304 3422 5716 6844 10003 11432 11977 13688 20006 23954 40012 41441 47908 80024 82882 84311 95816 165764 168622 290087 331528 337244 580174 590177 674488 1160348 1180354 2320696 2360708 2445019 4721416 4890038 9780076 17115133 19560152 34230266 68460532 136921064