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136478496 = 25371137499
BaseRepresentation
bin10000010001001…
…11111100100000
3100111210211022010
420020213330200
5234414302441
621313112520
73245022330
oct1010477440
9314724263
10136478496
1170047350
1239858740
132237650b
14141a90c0
15bead116
hex8227f20

136478496 has 192 divisors, whose sum is σ = 459648000. Its totient is φ = 34421760.

The previous prime is 136478491. The next prime is 136478497. The reversal of 136478496 is 694874631.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (870912) is a multiple of the sum of its prime factors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136478491) by changing a digit.

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, 273255 + ... + 273753.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2136478496 is an apocalyptic number.

136478496 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 136478496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

136478496 is an abundant number, since it is smaller than the sum of its proper divisors (323169504).

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

136478496 is a wasteful number, since it uses less digits than its factorization.

136478496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 136478496 is about 11682.4011230569. The cubic root of 136478496 is about 514.8587239341.

The spelling of 136478496 in words is "one hundred thirty-six million, four hundred seventy-eight thousand, four hundred ninety-six".