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145612500 = 2235511353
BaseRepresentation
bin10001010110111…
…01111011010100
3101010222212210120
420223131323110
5244234100000
622240551540
73415454145
oct1053357324
9333885716
10145612500
1175215910
12409225b0
1324223b57
14154a5acc
15cbb46a0
hex8added4

145612500 has 144 divisors (see below), whose sum is σ = 464595264. Its totient is φ = 35200000.

The previous prime is 145612499. The next prime is 145612547. The reversal of 145612500 is 5216541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412324 + ... + 412676.

It is an arithmetic number, because the mean of its divisors is an integer number (3226356).

Almost surely, 2145612500 is an apocalyptic number.

145612500 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 145612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232297632).

145612500 is an abundant number, since it is smaller than the sum of its proper divisors (318982764).

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

145612500 is a wasteful number, since it uses less digits than its factorization.

145612500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 145612500 is about 12067.0004557885. Note that the first 3 decimals coincide. The cubic root of 145612500 is about 526.0974774407.

The spelling of 145612500 in words is "one hundred forty-five million, six hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 353 375 500 550 625 660 706 750 825 1059 1100 1250 1375 1412 1500 1650 1765 1875 2118 2500 2750 3125 3300 3530 3750 3883 4125 4236 5295 5500 6250 6875 7060 7500 7766 8250 8825 9375 10590 11649 12500 13750 15532 16500 17650 18750 19415 20625 21180 23298 26475 27500 34375 35300 37500 38830 41250 44125 46596 52950 58245 68750 77660 82500 88250 97075 103125 105900 116490 132375 137500 176500 194150 206250 220625 232980 264750 291225 388300 412500 441250 485375 529500 582450 661875 882500 970750 1103125 1164900 1323750 1456125 1941500 2206250 2426875 2647500 2912250 3309375 4412500 4853750 5824500 6618750 7280625 9707500 12134375 13237500 14561250 24268750 29122500 36403125 48537500 72806250 145612500