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136372964 = 227132912919
BaseRepresentation
bin10000010000011…
…10001011100100
3100111121110112112
420020032023210
5234402413324
621310540152
73244102550
oct1010161344
9314543475
10136372964
116aa85032
1239807658
132233a480
141417c860
15be8bc0e
hex820e2e4

136372964 has 48 divisors (see below), whose sum is σ = 303878400. Its totient is φ = 52085376.

The previous prime is 136372961. The next prime is 136372967. The reversal of 136372964 is 469273631.

It is an interprime number because it is at equal distance from previous prime (136372961) and next prime (136372967).

It is not an unprimeable number, because it can be changed into a prime (136372961) 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, 4097 + ... + 17015.

It is an arithmetic number, because the mean of its divisors is an integer number (6330800).

Almost surely, 2136372964 is an apocalyptic number.

136372964 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 136372964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939200).

136372964 is an abundant number, since it is smaller than the sum of its proper divisors (167505436).

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

136372964 is a wasteful number, since it uses less digits than its factorization.

136372964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12970 counting only the distinct ones).

The product of its digits is 163296, while the sum is 41.

The square root of 136372964 is about 11677.8835411217. The cubic root of 136372964 is about 514.7259848749.

The spelling of 136372964 in words is "one hundred thirty-six million, three hundred seventy-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 2639 5278 10556 12919 25838 51676 90433 167947 180866 335894 361732 374651 671788 749302 1175629 1498604 2351258 2622557 4702516 4870463 5245114 9740926 10490228 19481852 34093241 68186482 136372964