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136204992 = 26327113783
BaseRepresentation
bin10000001111001…
…01001011000000
3100111021221010100
420013211023000
5234332024432
621303202400
73242503050
oct1007451300
9314257110
10136204992
116a97a910
1239746400
13222abb91
1414137560
15be5707c
hex81e52c0

136204992 has 336 divisors, whose sum is σ = 505919232. Its totient is φ = 34007040.

The previous prime is 136204987. The next prime is 136204997. The reversal of 136204992 is 299402631.

It is an interprime number because it is at equal distance from previous prime (136204987) and next prime (136204997).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136204997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640983 + ... + 1641065.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 2136204992 is an apocalyptic number.

136204992 is a gapful number since it is divisible by the number (12) 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 136204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

136204992 is an abundant number, since it is smaller than the sum of its proper divisors (369714240).

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

136204992 is a wasteful number, since it uses less digits than its factorization.

136204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

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

The square root of 136204992 is about 11670.6894397889. The cubic root of 136204992 is about 514.5145669305.

The spelling of 136204992 in words is "one hundred thirty-six million, two hundred four thousand, nine hundred ninety-two".