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137311815400 = 23523122147067
BaseRepresentation
bin111111111100001101…
…1000000011011101000
3111010102111101221201121
41333320123000123220
54222203311043100
6143025152425024
712630500113264
oct1777033003350
9433374357647
10137311815400
1153262a38281
1222741548174
13cc43984516
1469085d30a4
153889c2251a
hex1ff86c06e8

137311815400 has 48 divisors (see below), whose sum is σ = 329548371840. Its totient is φ = 53152958400.

The previous prime is 137311815391. The next prime is 137311815409. The reversal of 137311815400 is 4518113731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137311815391) and next prime (137311815409).

It is not an unprimeable number, because it can be changed into a prime (137311815409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11067334 + ... + 11079733.

It is an arithmetic number, because the mean of its divisors is an integer number (6865591080).

Almost surely, 2137311815400 is an apocalyptic number.

137311815400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137311815400 is an abundant number, since it is smaller than the sum of its proper divisors (192236556440).

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

137311815400 is a wasteful number, since it uses less digits than its factorization.

137311815400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22147114 (or 22147105 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 137311815400 in words is "one hundred thirty-seven billion, three hundred eleven million, eight hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 22147067 44294134 88588268 110735335 177176536 221470670 442941340 553676675 686559077 885882680 1107353350 1373118154 2214706700 2746236308 3432795385 4429413400 5492472616 6865590770 13731181540 17163976925 27462363080 34327953850 68655907700 137311815400