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136601400 = 233521383211
BaseRepresentation
bin10000010010001…
…01111100111000
3100112001001220010
420021011330320
5234432221100
621315501520
73246043545
oct1011057470
9315031803
10136601400
1170120721
12398b78a0
13223ba440
14141dbbcc
15bed4750
hex8245f38

136601400 has 192 divisors, whose sum is σ = 463720320. Its totient is φ = 33062400.

The previous prime is 136601369. The next prime is 136601401. The reversal of 136601400 is 4106631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136601401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647295 + ... + 647505.

It is an arithmetic number, because the mean of its divisors is an integer number (2415210).

Almost surely, 2136601400 is an apocalyptic number.

136601400 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 136601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231860160).

136601400 is an abundant number, since it is smaller than the sum of its proper divisors (327118920).

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

136601400 is a wasteful number, since it uses less digits than its factorization.

136601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 136601400 is about 11687.6601593304. The cubic root of 136601400 is about 515.0132274229.

The spelling of 136601400 in words is "one hundred thirty-six million, six hundred one thousand, four hundred".