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136432764 = 223213377879
BaseRepresentation
bin10000010000111…
…00110001111100
3100111201111120100
420020130301330
5234411322024
621312121100
73244442106
oct1010346174
9314644510
10136432764
1170015a56
1239836190
132235b760
1414196576
15be9e7c9
hex821cc7c

136432764 has 72 divisors (see below), whose sum is σ = 381486560. Its totient is φ = 40839552.

The previous prime is 136432753. The next prime is 136432771. The reversal of 136432764 is 467234631.

It is a happy number.

136432764 is a `hidden beast` number, since 1 + 3 + 643 + 2 + 7 + 6 + 4 = 666.

It is a super-2 number, since 2×1364327642 = 37227798185359392, which contains 22 as substring.

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

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, 13377 + ... + 21255.

Almost surely, 2136432764 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 136432764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190743280).

136432764 is an abundant number, since it is smaller than the sum of its proper divisors (245053796).

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

136432764 is a wasteful number, since it uses less digits than its factorization.

136432764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7939 (or 7934 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 136432764 is about 11680.4436559576. The cubic root of 136432764 is about 514.8012102347.

The spelling of 136432764 in words is "one hundred thirty-six million, four hundred thirty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 7879 8658 15758 17316 23637 31516 47274 70911 94548 102427 141822 204854 283644 291523 307281 409708 583046 614562 874569 921843 1166092 1229124 1749138 1843686 2623707 3498276 3687372 3789799 5247414 7579598 10494828 11369397 15159196 22738794 34108191 45477588 68216382 136432764