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136364352 = 2634383199
BaseRepresentation
bin10000010000011…
…00000101000000
3100111121000201120
420020030011000
5234402124402
621310432240
73244035465
oct1010140500
9314530646
10136364352
116aa79613
1239802680
1322336587
141417966c
15be893bc
hex820c140

136364352 has 112 divisors (see below), whose sum is σ = 375513600. Its totient is φ = 43642368.

The previous prime is 136364329. The next prime is 136364357. The reversal of 136364352 is 253463631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136364357) 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, 685149 + ... + 685347.

It is an arithmetic number, because the mean of its divisors is an integer number (3352800).

Almost surely, 2136364352 is an apocalyptic number.

136364352 is a gapful number since it is divisible by the number (12) 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 136364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

136364352 is an abundant number, since it is smaller than the sum of its proper divisors (239149248).

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

136364352 is a wasteful number, since it uses less digits than its factorization.

136364352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 136364352 is about 11677.5148041011. The cubic root of 136364352 is about 514.7151496053.

The spelling of 136364352 in words is "one hundred thirty-six million, three hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 83 86 96 129 166 172 192 199 249 258 332 344 398 498 516 597 664 688 796 996 1032 1194 1328 1376 1592 1992 2064 2388 2656 2752 3184 3569 3984 4128 4776 5312 6368 7138 7968 8256 8557 9552 10707 12736 14276 15936 16517 17114 19104 21414 25671 28552 33034 34228 38208 42828 49551 51342 57104 66068 68456 85656 99102 102684 114208 132136 136912 171312 198204 205368 228416 264272 273824 342624 396408 410736 528544 547648 685248 710231 792816 821472 1057088 1420462 1585632 1642944 2130693 2840924 3171264 4261386 5681848 8522772 11363696 17045544 22727392 34091088 45454784 68182176 136364352