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145150516 = 22723257877
BaseRepresentation
bin10001010011011…
…01001000110100
3101010010102002001
420221231020310
5244124304031
622223025044
73411521230
oct1051551064
9333112061
10145150516
1174a2a805
124073b184
13240c17a4
14153c55c0
15cb22861
hex8a6d234

145150516 has 48 divisors (see below), whose sum is σ = 304448256. Its totient is φ = 59203584.

The previous prime is 145150513. The next prime is 145150549. The reversal of 145150516 is 615051541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145150513) 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, 165070 + ... + 165946.

It is an arithmetic number, because the mean of its divisors is an integer number (6342672).

Almost surely, 2145150516 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 145150516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152224128).

145150516 is an abundant number, since it is smaller than the sum of its proper divisors (159297740).

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

145150516 is a wasteful number, since it uses less digits than its factorization.

145150516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 145150516 is about 12047.8427944591. The cubic root of 145150516 is about 525.5405057734.

The spelling of 145150516 in words is "one hundred forty-five million, one hundred fifty thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 92 161 257 322 514 644 877 1028 1754 1799 3508 3598 5911 6139 7196 11822 12278 20171 23644 24556 40342 41377 80684 82754 141197 165508 225389 282394 450778 564788 901556 1577723 3155446 5183947 6310892 10367894 20735788 36287629 72575258 145150516