Search a number
-
+
149012136 = 23347213192
BaseRepresentation
bin10001110000110…
…11111010101000
3101101101121020000
420320123322220
5301121342021
622441503000
73456403500
oct1070337250
9341347200
10149012136
1177128029
1241aa1a60
1324b44380
1415b0ca00
15d136b26
hex8e1bea8

149012136 has 360 divisors, whose sum is σ = 551828970. Its totient is φ = 37231488.

The previous prime is 149012119. The next prime is 149012153. The reversal of 149012136 is 631210941.

149012136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149012119) and next prime (149012153).

It can be written as a sum of positive squares in only one way, i.e., 143280900 + 5731236 = 11970^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7842735 + ... + 7842753.

Almost surely, 2149012136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149012136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275914485).

149012136 is an abundant number, since it is smaller than the sum of its proper divisors (402816834).

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

149012136 is a wasteful number, since it uses less digits than its factorization.

149012136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 149012136 is about 12207.0527155411. The cubic root of 149012136 is about 530.1603122497.

The spelling of 149012136 in words is "one hundred forty-nine million, twelve thousand, one hundred thirty-six".