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136942848 = 2832721213
BaseRepresentation
bin10000010100110…
…01010100000000
3100112200102021100
420022121110000
5240024132343
621331054400
73251665200
oct1012312400
9315612240
10136942848
1170334209
1239a41400
13224a9993
141428a400
15c0509d3
hex8299500

136942848 has 162 divisors, whose sum is σ = 459682314. Its totient is φ = 39094272.

The previous prime is 136942811. The next prime is 136942853. The reversal of 136942848 is 848249631.

It is a happy number.

136942848 is a `hidden beast` number, since 1 + 369 + 4 + 284 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 54641664 = 9072^2 + 7392^2 .

It is a super-2 number, since 2×1369428482 = 37506687236702208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112290 + ... + 113502.

Almost surely, 2136942848 is an apocalyptic number.

136942848 is a gapful number since it is divisible by the number (18) 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 136942848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229841157).

136942848 is an abundant number, since it is smaller than the sum of its proper divisors (322739466).

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

136942848 is a wasteful number, since it uses less digits than its factorization.

136942848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1225 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 136942848 is about 11702.2582436041. The cubic root of 136942848 is about 515.4419783277.

The spelling of 136942848 in words is "one hundred thirty-six million, nine hundred forty-two thousand, eight hundred forty-eight".