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145151325 = 335211113173
BaseRepresentation
bin10001010011011…
…01010101011101
3101010010110012000
420221231111131
5244124320300
622223032513
73411523464
oct1051552535
9333113160
10145151325
1174a30380
124073b739
13240c1c77
14153c59db
15cb22c00
hex8a6d55d

145151325 has 96 divisors (see below), whose sum is σ = 295159680. Its totient is φ = 69350400.

The previous prime is 145151263. The next prime is 145151327. The reversal of 145151325 is 523151541.

145151325 is a `hidden beast` number, since 14 + 515 + 132 + 5 = 666.

It is not a de Polignac number, because 145151325 - 216 = 145085789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145151327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 838939 + ... + 839111.

It is an arithmetic number, because the mean of its divisors is an integer number (3074580).

Almost surely, 2145151325 is an apocalyptic number.

145151325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145151325 is an abundant number, since it is smaller than the sum of its proper divisors (150008355).

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

145151325 is a wasteful number, since it uses less digits than its factorization.

145151325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 145151325 is about 12047.8763688876. The cubic root of 145151325 is about 525.5414821426.

The spelling of 145151325 in words is "one hundred forty-five million, one hundred fifty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 113 135 165 173 225 275 297 339 495 519 565 675 825 865 1017 1243 1485 1557 1695 1903 2475 2595 2825 3051 3729 4325 4671 5085 5709 6215 7425 7785 8475 9515 11187 12975 15255 17127 18645 19549 23355 25425 28545 31075 33561 38925 47575 51381 55935 58647 76275 85635 93225 97745 116775 142725 167805 175941 215039 256905 279675 293235 428175 488725 527823 645117 839025 879705 1075195 1284525 1466175 1935351 2639115 3225585 4398525 5375975 5806053 9676755 13195575 16127925 29030265 48383775 145151325