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149363136 = 26331361109
BaseRepresentation
bin10001110011100…
…01100111000000
3101102001102201000
420321301213000
5301214110021
622453212000
73462365016
oct1071614700
9342042630
10149363136
117734780a
1242031000
1324c38070
1415ba08b6
15d1a5b26
hex8e719c0

149363136 has 224 divisors, whose sum is σ = 485038400. Its totient is φ = 44789760.

The previous prime is 149363131. The next prime is 149363141. The reversal of 149363136 is 631363941.

149363136 is a `hidden beast` number, since 14 + 9 + 3 + 631 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (149363131) and next prime (149363141).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 149363136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149363131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370250 + ... + 1370358.

It is an arithmetic number, because the mean of its divisors is an integer number (2165350).

Almost surely, 2149363136 is an apocalyptic number.

149363136 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 149363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242519200).

149363136 is an abundant number, since it is smaller than the sum of its proper divisors (335675264).

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

149363136 is a wasteful number, since it uses less digits than its factorization.

149363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 149363136 is about 12221.4211939529. The cubic root of 149363136 is about 530.5762523111.

The spelling of 149363136 in words is "one hundred forty-nine million, three hundred sixty-three thousand, one hundred thirty-six".