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136133400 = 233521331563
BaseRepresentation
bin10000001110100…
…11101100011000
3100111011021220210
420013103230120
5234322232100
621301451120
73242054244
oct1007235430
9314137823
10136133400
116a931047
1239710aa0
1322285410
1414119424
15be40c50
hex81d3b18

136133400 has 192 divisors, whose sum is σ = 469969920. Its totient is φ = 32371200.

The previous prime is 136133377. The next prime is 136133419. The reversal of 136133400 is 4331631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241519 + ... + 242081.

It is an arithmetic number, because the mean of its divisors is an integer number (2447760).

Almost surely, 2136133400 is an apocalyptic number.

136133400 is a gapful number since it is divisible by the number (10) 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 136133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234984960).

136133400 is an abundant number, since it is smaller than the sum of its proper divisors (333836520).

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

136133400 is a wasteful number, since it uses less digits than its factorization.

136133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 136133400 is about 11667.6218656588. The cubic root of 136133400 is about 514.4244048350.

The spelling of 136133400 in words is "one hundred thirty-six million, one hundred thirty-three thousand, four hundred".