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146531147540 = 225191376074637
BaseRepresentation
bin1000100001110111101…
…1111101111100010100
3112000020000012112212112
42020131323331330110
54400043433210130
6151152051010152
713405115126531
oct2103573757424
9460200175775
10146531147540
1157164015a38
1224494b99958
1310a829ca23b
147140bbdd88
153c292c6495
hex221defdf14

146531147540 has 96 divisors (see below), whose sum is σ = 326883271680. Its totient is φ = 55019602944.

The previous prime is 146531147513. The next prime is 146531147591. The reversal of 146531147540 is 45741135641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31598102 + ... + 31602738.

It is an arithmetic number, because the mean of its divisors is an integer number (3405034080).

Almost surely, 2146531147540 is an apocalyptic number.

146531147540 is a gapful number since it is divisible by the number (10) 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 146531147540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163441635840).

146531147540 is an abundant number, since it is smaller than the sum of its proper divisors (180352124140).

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

146531147540 is a wasteful number, since it uses less digits than its factorization.

146531147540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 146531147540 in words is "one hundred forty-six billion, five hundred thirty-one million, one hundred forty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 274 380 548 607 685 1214 1370 2428 2603 2740 3035 4637 5206 6070 9274 10412 11533 12140 13015 18548 23066 23185 26030 46132 46370 52060 57665 83159 88103 92740 115330 166318 176206 230660 332636 352412 415795 440515 635269 831590 881030 1270538 1580021 1663180 1762060 2541076 2814659 3160042 3176345 5629318 6320084 6352690 7900105 11258636 12070111 12705380 14073295 15800210 24140222 28146590 31600420 48280444 53478521 56293180 60350555 106957042 120701110 213914084 241402220 267392605 385608283 534785210 771216566 1069570420 1542433132 1928041415 3856082830 7326557377 7712165660 14653114754 29306229508 36632786885 73265573770 146531147540