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148857345 = 3457213577
BaseRepresentation
bin10001101111101…
…10001000000001
3101101002201220000
420313312020001
5301101413340
622434310213
73455160300
oct1067661001
9341081800
10148857345
11770317aa
1241a28369
1324abba90
1415aac437
15d105d30
hex8df6201

148857345 has 120 divisors (see below), whose sum is σ = 334863144. Its totient is φ = 62705664.

The previous prime is 148857341. The next prime is 148857353. The reversal of 148857345 is 543758841.

It can be written as a sum of positive squares in 4 ways, for example, as 31438449 + 117418896 = 5607^2 + 10836^2 .

It is not a de Polignac number, because 148857345 - 22 = 148857341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 148857345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148857341) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257697 + ... + 258273.

Almost surely, 2148857345 is an apocalyptic number.

148857345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148857345 is an abundant number, since it is smaller than the sum of its proper divisors (186005799).

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

148857345 is a wasteful number, since it uses less digits than its factorization.

148857345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 148857345 is about 12200.7108399470. The cubic root of 148857345 is about 529.9766751335.

The spelling of 148857345 in words is "one hundred forty-eight million, eight hundred fifty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 81 91 105 117 135 147 189 195 245 273 315 351 405 441 455 567 577 585 637 735 819 945 1053 1323 1365 1731 1755 1911 2205 2457 2835 2885 3185 3969 4039 4095 5193 5265 5733 6615 7371 7501 8655 9555 12117 12285 15579 17199 19845 20195 22503 25965 28273 28665 36351 36855 37505 46737 51597 52507 60585 67509 77895 84819 85995 109053 112515 141365 157521 181755 202527 233685 254457 257985 262535 327159 337545 367549 424095 472563 545265 607581 763371 787605 1012635 1102647 1272285 1417689 1635795 1837745 2290113 2362815 3037905 3307941 3816855 4253067 5513235 7088445 9923823 11450565 16539705 21265335 29771469 49619115 148857345