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145137916 = 22711716637
BaseRepresentation
bin10001010011010…
…10000011111100
3101010002202210101
420221222003330
5244123403131
622222450444
73411436420
oct1051520374
9333082711
10145137916
1174a212a0
1240733a24
13240b8b31
14153c0b80
15cb1dc61
hex8a6a0fc

145137916 has 48 divisors (see below), whose sum is σ = 321172992. Its totient is φ = 55742400.

The previous prime is 145137893. The next prime is 145137919. The reversal of 145137916 is 619731541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145137919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18550 + ... + 25186.

It is an arithmetic number, because the mean of its divisors is an integer number (6691104).

Almost surely, 2145137916 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 145137916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160586496).

145137916 is an abundant number, since it is smaller than the sum of its proper divisors (176035076).

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

145137916 is a wasteful number, since it uses less digits than its factorization.

145137916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6728 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 145137916 is about 12047.3198679208. The cubic root of 145137916 is about 525.5252985660.

The spelling of 145137916 in words is "one hundred forty-five million, one hundred thirty-seven thousand, nine hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 497 781 994 1562 1988 3124 5467 6637 10934 13274 21868 26548 46459 73007 92918 146014 185836 292028 471227 511049 942454 1022098 1884908 2044196 3298589 5183497 6597178 10366994 13194356 20733988 36284479 72568958 145137916