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145770995136 = 26313523111667
BaseRepresentation
bin1000011111000010100…
…0001101110111000000
3111221021000211210210210
42013300220031313000
54342014333321021
6150544414154120
713350225005004
oct2076050156700
9457230753723
10145770995136
1156903a21208
12243024b2940
1310991389710
1470abc68704
153bd26c0e76
hex21f0a0ddc0

145770995136 has 112 divisors (see below), whose sum is σ = 416151795584. Its totient is φ = 44766452736.

The previous prime is 145770995129. The next prime is 145770995159. The reversal of 145770995136 is 631599077541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249575 + ... + 1361241.

It is an arithmetic number, because the mean of its divisors is an integer number (3715641032).

Almost surely, 2145770995136 is an apocalyptic number.

145770995136 is a gapful number since it is divisible by the number (16) 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 145770995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208075897792).

145770995136 is an abundant number, since it is smaller than the sum of its proper divisors (270380800448).

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

145770995136 is a wasteful number, since it uses less digits than its factorization.

145770995136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112218 (or 112208 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 57.

The spelling of 145770995136 in words is "one hundred forty-five billion, seven hundred seventy million, nine hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 523 624 832 1046 1248 1569 2092 2496 3138 4184 6276 6799 8368 12552 13598 16736 20397 25104 27196 33472 40794 50208 54392 81588 100416 108784 111667 163176 217568 223334 326352 335001 435136 446668 652704 670002 893336 1305408 1340004 1451671 1786672 2680008 2903342 3573344 4355013 5360016 5806684 7146688 8710026 10720032 11613368 17420052 21440064 23226736 34840104 46453472 58401841 69680208 92906944 116803682 139360416 175205523 233607364 278720832 350411046 467214728 700822092 759223933 934429456 1401644184 1518447866 1868858912 2277671799 2803288368 3036895732 3737717824 4555343598 5606576736 6073791464 9110687196 11213153472 12147582928 18221374392 24295165856 36442748784 48590331712 72885497568 145770995136