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145536057480 = 233511797138337
BaseRepresentation
bin1000011110001010100…
…0000000000010001000
3111220122122202201221010
42013202220000002020
54341024212314410
6150505222443520
713341343035402
oct2074250000210
9456578681833
10145536057480
11567a3346060
12242578935a0
13109547bbb58
14708898db72
153bbbc64c20
hex21e2a00088

145536057480 has 128 divisors (see below), whose sum is σ = 476900887680. Its totient is φ = 35236945920.

The previous prime is 145536057473. The next prime is 145536057529. The reversal of 145536057480 is 84750635541.

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, 982872 + ... + 1121208.

It is an arithmetic number, because the mean of its divisors is an integer number (3725788185).

Almost surely, 2145536057480 is an apocalyptic number.

145536057480 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 145536057480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238450443840).

145536057480 is an abundant number, since it is smaller than the sum of its proper divisors (331364830200).

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

145536057480 is a wasteful number, since it uses less digits than its factorization.

145536057480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139159 (or 139155 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 145536057480 in words is "one hundred forty-five billion, five hundred thirty-six million, fifty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 797 1320 1594 2391 3188 3985 4782 6376 7970 8767 9564 11955 15940 17534 19128 23910 26301 31880 35068 43835 47820 52602 70136 87670 95640 105204 131505 138337 175340 210408 263010 276674 350680 415011 526020 553348 691685 830022 1052040 1106696 1383370 1521707 1660044 2075055 2766740 3043414 3320088 4150110 4565121 5533480 6086828 7608535 8300220 9130242 12173656 15217070 16600440 18260484 22825605 30434140 36520968 45651210 60868280 91302420 110254589 182604840 220509178 330763767 441018356 551272945 661527534 882036712 1102545890 1212800479 1323055068 1653818835 2205091780 2425600958 2646110136 3307637670 3638401437 4410183560 4851201916 6064002395 6615275340 7276802874 9702403832 12128004790 13230550680 14553605748 18192007185 24256009580 29107211496 36384014370 48512019160 72768028740 145536057480