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137502134440 = 235112549122599
BaseRepresentation
bin1000000000001111000…
…1000001000010101000
3111010220202112011100221
42000003301001002220
54223101021300230
6143100111535424
712635300600266
oct2000361010250
9433822464327
10137502134440
1153350408840
122279522a574
13cc7422c238
1469259b5436
15389b7b827a
hex2003c410a8

137502134440 has 64 divisors (see below), whose sum is σ = 337640400000. Its totient is φ = 49980752640.

The previous prime is 137502134423. The next prime is 137502134489. The reversal of 137502134440 is 44431205731.

It is a super-2 number, since 2×1375021344402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137502134396 and 137502134405.

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, 1060261 + ... + 1182859.

It is an arithmetic number, because the mean of its divisors is an integer number (5275631250).

Almost surely, 2137502134440 is an apocalyptic number.

137502134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137502134440 is an abundant number, since it is smaller than the sum of its proper divisors (200138265560).

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

137502134440 is a wasteful number, since it uses less digits than its factorization.

137502134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125170 (or 125166 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 137502134440 in words is "one hundred thirty-seven billion, five hundred two million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2549 5098 10196 12745 20392 25490 28039 50980 56078 101960 112156 122599 140195 224312 245198 280390 490396 560780 612995 980792 1121560 1225990 1348589 2451980 2697178 4903960 5394356 6742945 10788712 13485890 26971780 53943560 312504851 625009702 1250019404 1562524255 2500038808 3125048510 3437553361 6250097020 6875106722 12500194040 13750213444 17187766805 27500426888 34375533610 68751067220 137502134440