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136774440 = 233351129397
BaseRepresentation
bin10000010011100…
…00001100101000
3100112100212021000
420021300030220
5240003240230
621323315000
73250364205
oct1011601450
9315325230
10136774440
1170229730
123997ba60
132244b12a
1414244cac
15c01ab60
hex8270328

136774440 has 256 divisors, whose sum is σ = 515808000. Its totient is φ = 31933440.

The previous prime is 136774423. The next prime is 136774447. The reversal of 136774440 is 44477631.

It is a happy number.

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 = 136774395 and 136774404.

It is not an unprimeable number, because it can be changed into a prime (136774447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344322 + ... + 344718.

It is an arithmetic number, because the mean of its divisors is an integer number (2014875).

Almost surely, 2136774440 is an apocalyptic number.

136774440 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 136774440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257904000).

136774440 is an abundant number, since it is smaller than the sum of its proper divisors (379033560).

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

136774440 is a wasteful number, since it uses less digits than its factorization.

136774440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 136774440 is about 11695.0604957820. The cubic root of 136774440 is about 515.2306002201.

The spelling of 136774440 in words is "one hundred thirty-six million, seven hundred seventy-four thousand, four hundred forty".