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135883776 = 210377189
BaseRepresentation
bin10000001100101…
…10110000000000
3100110200121111110
420012112300000
5234241240101
621252243320
73236664420
oct1006266000
9313617443
10135883776
116a780546
1239610540
13221c8902
1414092480
15bde1cd6
hex8196c00

135883776 has 176 divisors, whose sum is σ = 424465920. Its totient is φ = 37847040.

The previous prime is 135883739. The next prime is 135883829. The reversal of 135883776 is 677388531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526740 + ... + 1526828.

Almost surely, 2135883776 is an apocalyptic number.

135883776 is a gapful number since it is divisible by the number (16) 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 135883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212232960).

135883776 is an abundant number, since it is smaller than the sum of its proper divisors (288582144).

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

135883776 is an equidigital number, since it uses as much as digits as its factorization.

135883776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 135883776 is about 11656.9196617288. The cubic root of 135883776 is about 514.1097839151.

The spelling of 135883776 in words is "one hundred thirty-five million, eight hundred eighty-three thousand, seven hundred seventy-six".