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145597158 = 23277914627
BaseRepresentation
bin10001010110110…
…10001011100110
3101010222002202100
420223122023212
5244233102113
622240352530
73415361340
oct1053321346
9333862670
10145597158
1175205333
1240915746
1324219b85
14154a0290
15cbaed73
hex8ada2e6

145597158 has 48 divisors (see below), whose sum is σ = 365114880. Its totient is φ = 41069808.

The previous prime is 145597157. The next prime is 145597181. The reversal of 145597158 is 851795541.

145597158 is a `hidden beast` number, since 1 + 4 + 5 + 597 + 1 + 58 = 666.

145597158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145597157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641 + ... + 17267.

It is an arithmetic number, because the mean of its divisors is an integer number (7606560).

Almost surely, 2145597158 is an apocalyptic number.

145597158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145597158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182557440).

145597158 is an abundant number, since it is smaller than the sum of its proper divisors (219517722).

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

145597158 is a wasteful number, since it uses less digits than its factorization.

145597158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721 (or 14718 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The square root of 145597158 is about 12066.3647383957. The cubic root of 145597158 is about 526.0789999268.

The spelling of 145597158 in words is "one hundred forty-five million, five hundred ninety-seven thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 9954 14627 29254 43881 87762 102389 131643 204778 263286 307167 614334 921501 1155533 1843002 2311066 3466599 6933198 8088731 10399797 16177462 20799594 24266193 48532386 72798579 145597158