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149207520 = 25357112367
BaseRepresentation
bin10001110010010…
…11100111100000
3101101202112020110
420321023213200
5301144120040
622450011320
73461146230
oct1071134740
9341675213
10149207520
1177250900
1241b76b40
1324bb2297
1415b5dcc0
15d174980
hex8e4b9e0

149207520 has 288 divisors, whose sum is σ = 592026624. Its totient is φ = 30919680.

The previous prime is 149207501. The next prime is 149207533. The reversal of 149207520 is 25702941.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 406377 + ... + 406743.

It is an arithmetic number, because the mean of its divisors is an integer number (2055648).

Almost surely, 2149207520 is an apocalyptic number.

149207520 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 149207520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296013312).

149207520 is an abundant number, since it is smaller than the sum of its proper divisors (442819104).

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

149207520 is a wasteful number, since it uses less digits than its factorization.

149207520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 149207520 is about 12215.0530084810. The cubic root of 149207520 is about 530.3919256043.

The spelling of 149207520 in words is "one hundred forty-nine million, two hundred seven thousand, five hundred twenty".