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136075680 = 25335132423
BaseRepresentation
bin10000001110001…
…01100110100000
3100111001100202000
420013011212200
5234313410210
621300324000
73241424046
oct1007054640
9314040660
10136075680
116a8a1744
12396a3600
1322265070
1414102396
15be2dac0
hex81c59a0

136075680 has 192 divisors, whose sum is σ = 513112320. Its totient is φ = 33481728.

The previous prime is 136075673. The next prime is 136075699. The reversal of 136075680 is 86570631.

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 31 ways as a sum of consecutive naturals, for example, 54949 + ... + 57371.

It is an arithmetic number, because the mean of its divisors is an integer number (2672460).

Almost surely, 2136075680 is an apocalyptic number.

136075680 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 136075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256556160).

136075680 is an abundant number, since it is smaller than the sum of its proper divisors (377036640).

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

136075680 is a wasteful number, since it uses less digits than its factorization.

136075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 136075680 is about 11665.1480916446. The cubic root of 136075680 is about 514.3516899486.

The spelling of 136075680 in words is "one hundred thirty-six million, seventy-five thousand, six hundred eighty".