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149154720 = 253511134153
BaseRepresentation
bin10001110001111…
…10101110100000
3101101122211210220
420320332232200
5301140422340
622444523040
73460536261
oct1070765640
9341584726
10149154720
1177215170
1241b50480
1324b94240
1415b48968
15d163ed0
hex8e3eba0

149154720 has 384 divisors, whose sum is σ = 576108288. Its totient is φ = 31948800.

The previous prime is 149154713. The next prime is 149154721. The reversal of 149154720 is 27451941.

It is a happy number.

149154720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (149154721) 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, 2814214 + ... + 2814266.

It is an arithmetic number, because the mean of its divisors is an integer number (1500282).

Almost surely, 2149154720 is an apocalyptic number.

149154720 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 149154720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288054144).

149154720 is an abundant number, since it is smaller than the sum of its proper divisors (426953568).

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

149154720 is a wasteful number, since it uses less digits than its factorization.

149154720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 149154720 is about 12212.8915495062. The cubic root of 149154720 is about 530.3293550367.

The spelling of 149154720 in words is "one hundred forty-nine million, one hundred fifty-four thousand, seven hundred twenty".