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135897696 = 25331179181
BaseRepresentation
bin10000001100110…
…10001001100000
3100110201022121000
420012122021200
5234242211241
621252432000
73240053124
oct1006321140
9313638530
10135897696
116a78aa50
1239618600
132220204c
1414097584
15bde5eb6
hex819a260

135897696 has 192 divisors, whose sum is σ = 440294400. Its totient is φ = 40435200.

The previous prime is 135897689. The next prime is 135897733. The reversal of 135897696 is 696798531.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 750726 + ... + 750906.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2135897696 is an apocalyptic number.

135897696 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 135897696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

135897696 is an abundant number, since it is smaller than the sum of its proper divisors (304396704).

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

135897696 is a wasteful number, since it uses less digits than its factorization.

135897696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 135897696 is about 11657.5167166940. The cubic root of 135897696 is about 514.1273385343.

The spelling of 135897696 in words is "one hundred thirty-five million, eight hundred ninety-seven thousand, six hundred ninety-six".