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148121272 = 231317199421
BaseRepresentation
bin10001101010000…
…10011010111000
3101022201100012001
420311002122320
5300404340042
622410430344
73446003305
oct1065023270
9338640161
10148121272
1176679782
12417323b4
13248c1a30
141595a0ac
15d00cbb7
hex8d426b8

148121272 has 64 divisors (see below), whose sum is σ = 319032000. Its totient is φ = 63866880.

The previous prime is 148121269. The next prime is 148121279. The reversal of 148121272 is 272121841.

It is a super-2 number, since 2×1481212722 = 43879822437795968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148121272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148121279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351622 + ... + 352042.

It is an arithmetic number, because the mean of its divisors is an integer number (4984875).

Almost surely, 2148121272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148121272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159516000).

148121272 is an abundant number, since it is smaller than the sum of its proper divisors (170910728).

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

148121272 is a wasteful number, since it uses less digits than its factorization.

148121272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 148121272 is about 12170.5082884816. The cubic root of 148121272 is about 529.1016846349.

The spelling of 148121272 in words is "one hundred forty-eight million, one hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 199 221 398 421 442 796 842 884 1592 1684 1768 2587 3368 3383 5174 5473 6766 7157 10348 10946 13532 14314 20696 21892 27064 28628 43784 43979 57256 83779 87958 93041 167558 175916 186082 335116 351832 372164 670232 744328 1089127 1424243 2178254 2848486 4356508 5696972 8713016 11393944 18515159 37030318 74060636 148121272