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149146704 = 24337313743
BaseRepresentation
bin10001110001111…
…00110001010000
3101101122102211000
420320330301100
5301140143304
622444422000
73460504020
oct1070746120
9341572730
10149146704
117720a143
1241b47900
1324b906b5
1415b45a80
15d161939
hex8e3cc50

149146704 has 320 divisors, whose sum is σ = 530759680. Its totient is φ = 39191040.

The previous prime is 149146687. The next prime is 149146727. The reversal of 149146704 is 407641941.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3468507 + ... + 3468549.

It is an arithmetic number, because the mean of its divisors is an integer number (1658624).

Almost surely, 2149146704 is an apocalyptic number.

149146704 is a gapful number since it is divisible by the number (14) 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 149146704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265379840).

149146704 is an abundant number, since it is smaller than the sum of its proper divisors (381612976).

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

149146704 is a wasteful number, since it uses less digits than its factorization.

149146704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 149146704 is about 12212.5633672870. The cubic root of 149146704 is about 530.3198543959.

The spelling of 149146704 in words is "one hundred forty-nine million, one hundred forty-six thousand, seven hundred four".