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148642152 = 233171392621
BaseRepresentation
bin10001101110000…
…01100101101000
3101100200210200220
420313001211220
5301023022102
622425530040
73453303021
oct1067014550
9340623626
10148642152
11769a505a
1241943920
1324a44b49
1415a53c48
15d0b21bc
hex8dc1968

148642152 has 64 divisors (see below), whose sum is σ = 396446400. Its totient is φ = 46279680.

The previous prime is 148642147. The next prime is 148642189. The reversal of 148642152 is 251246841.

It is a happy number.

It is a super-3 number, since 3×1486421523 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55402 + ... + 58022.

It is an arithmetic number, because the mean of its divisors is an integer number (6194475).

Almost surely, 2148642152 is an apocalyptic number.

148642152 is a gapful number since it is divisible by the number (12) 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 148642152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198223200).

148642152 is an abundant number, since it is smaller than the sum of its proper divisors (247804248).

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

148642152 is a wasteful number, since it uses less digits than its factorization.

148642152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2782 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 148642152 is about 12191.8887790203. Note that the first 3 decimals coincide. The cubic root of 148642152 is about 529.7211681543.

Adding to 148642152 its reverse (251246841), we get a palindrome (399888993).

The spelling of 148642152 in words is "one hundred forty-eight million, six hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 139 204 278 408 417 556 834 1112 1668 2363 2621 3336 4726 5242 7089 7863 9452 10484 14178 15726 18904 20968 28356 31452 44557 56712 62904 89114 133671 178228 267342 356456 364319 534684 728638 1069368 1092957 1457276 2185914 2914552 4371828 6193423 8743656 12386846 18580269 24773692 37160538 49547384 74321076 148642152