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136016496 = 24347112947

136016496 has 400 divisors, whose sum is σ = 518538240. Its totient is φ = 33384960.

The previous prime is 136016443. The next prime is 136016509. The reversal of 136016496 is 694610631.

136016496 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 1 + 649 + 6 = 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 self number, because there is not a number n which added to its sum of digits gives 136016496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2893945 + ... + 2893991.

Almost surely, 2136016496 is an apocalyptic number.

136016496 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 136016496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

136016496 is an abundant number, since it is smaller than the sum of its proper divisors (382521744).

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

136016496 is a wasteful number, since it uses less digits than its factorization.

136016496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

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

The square root of 136016496 is about 11662.6110284104. The cubic root of 136016496 is about 514.2771093798.

The spelling of 136016496 in words is "one hundred thirty-six million, sixteen thousand, four hundred ninety-six".