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149672160 = 25325112859
BaseRepresentation
bin10001110101111…
…01000011100000
3101102122010121100
420322331003200
5301304002120
622503554400
73465122661
oct1072750340
9342563540
10149672160
1177538a00
124215ba00
1325015911
1415c41368
15d217490
hex8ebd0e0

149672160 has 216 divisors, whose sum is σ = 562063320. Its totient is φ = 36241920.

The previous prime is 149672137. The next prime is 149672179. The reversal of 149672160 is 61276941.

149672160 is a `hidden beast` number, since 1 + 496 + 7 + 2 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173811 + ... + 174669.

It is an arithmetic number, because the mean of its divisors is an integer number (2602145).

Almost surely, 2149672160 is an apocalyptic number.

149672160 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 149672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281031660).

149672160 is an abundant number, since it is smaller than the sum of its proper divisors (412391160).

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

149672160 is a wasteful number, since it uses less digits than its factorization.

149672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149672160 is about 12234.0573809346. The cubic root of 149672160 is about 530.9419111448.

The spelling of 149672160 in words is "one hundred forty-nine million, six hundred seventy-two thousand, one hundred sixty".