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148965120 = 2832567193
BaseRepresentation
bin10001110000100…
…00011100000000
3101101022012201200
420320100130000
5301113340440
622440501200
73456116433
oct1070203400
9341265650
10148965120
11770a5777
1241a7a800
1324b28b55
1415ad981a
15d127c30
hex8e10700

148965120 has 216 divisors, whose sum is σ = 525806736. Its totient is φ = 38928384.

The previous prime is 148965107. The next prime is 148965133. The reversal of 148965120 is 21569841.

It is an interprime number because it is at equal distance from previous prime (148965107) and next prime (148965133).

It is a super-2 number, since 2×1489651202 = 44381213953228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771744 + ... + 771936.

Almost surely, 2148965120 is an apocalyptic number.

148965120 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 148965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262903368).

148965120 is an abundant number, since it is smaller than the sum of its proper divisors (376841616).

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

148965120 is a wasteful number, since it uses less digits than its factorization.

148965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 148965120 is about 12205.1267916397. The cubic root of 148965120 is about 530.1045480238.

The spelling of 148965120 in words is "one hundred forty-eight million, nine hundred sixty-five thousand, one hundred twenty".