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137243457400 = 23527412391001
BaseRepresentation
bin111111111010001011…
…0001111011101111000
3111010020201210000011211
41333310112033131320
54222033311114100
6143014311332504
712626010065650
oct1776426173570
9433221700154
10137243457400
1153228398965
1222722681134
13cc3276c1ba
1468dd4bb360
153883c1d1ba
hex1ff458f778

137243457400 has 96 divisors (see below), whose sum is σ = 373570152480. Its totient is φ = 45907200000.

The previous prime is 137243457361. The next prime is 137243457427. The reversal of 137243457400 is 4754342731.

It is a super-2 number, since 2×1372434574002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138101 + ... + 1252900.

It is an arithmetic number, because the mean of its divisors is an integer number (3891355755).

Almost surely, 2137243457400 is an apocalyptic number.

137243457400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137243457400 is an abundant number, since it is smaller than the sum of its proper divisors (236326695080).

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

137243457400 is a wasteful number, since it uses less digits than its factorization.

137243457400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391065 (or 2391056 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 137243457400 in words is "one hundred thirty-seven billion, two hundred forty-three million, four hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2296 2870 4100 5740 7175 8200 11480 14350 28700 57400 2391001 4782002 9564004 11955005 16737007 19128008 23910010 33474014 47820020 59775025 66948028 83685035 95640040 98031041 119550050 133896056 167370070 196062082 239100100 334740140 392124164 418425175 478200200 490155205 669480280 686217287 784248328 836850350 980310410 1372434574 1673700700 1960620820 2450776025 2744869148 3347401400 3431086435 3921241640 4901552050 5489738296 6862172870 9803104100 13724345740 17155432175 19606208200 27448691480 34310864350 68621728700 137243457400