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136499040 = 25335191663
BaseRepresentation
bin10000010001011…
…00111101100000
3100111211212111000
420020230331200
5234420432130
621313352000
73245136246
oct1010547540
9314755430
10136499040
1170060827
1239868600
1322382982
14141b2796
15beb4260
hex822cf60

136499040 has 192 divisors, whose sum is σ = 503193600. Its totient is φ = 34463232.

The previous prime is 136499023. The next prime is 136499053. The reversal of 136499040 is 40994631.

136499040 is a `hidden beast` number, since 1 + 3 + 649 + 9 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136498986 and 136499004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81249 + ... + 82911.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2136499040 is an apocalyptic number.

136499040 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 136499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

136499040 is an abundant number, since it is smaller than the sum of its proper divisors (366694560).

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

136499040 is a wasteful number, since it uses less digits than its factorization.

136499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136499040 is about 11683.2803612684. The cubic root of 136499040 is about 514.8845563967.

The spelling of 136499040 in words is "one hundred thirty-six million, four hundred ninety-nine thousand, forty".