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137555142720 = 26353712730493
BaseRepresentation
bin1000000000011011101…
…1001110100001000000
3111011001110021021001120
42000012323032201000
54223203104031340
6143105244032240
712636513264342
oct2000673164100
9434043237046
10137555142720
1153378323736
12227aab32680
13cc821cb998
14692ca53292
1538a12894d0
hex2006ece840

137555142720 has 224 divisors, whose sum is σ = 452087943168. Its totient is φ = 35407798272.

The previous prime is 137555142713. The next prime is 137555142731. The reversal of 137555142720 is 27241555731.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4495794 + ... + 4526286.

Almost surely, 2137555142720 is an apocalyptic number.

137555142720 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 137555142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226043971584).

137555142720 is an abundant number, since it is smaller than the sum of its proper divisors (314532800448).

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

137555142720 is a wasteful number, since it uses less digits than its factorization.

137555142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30677 (or 30667 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 137555142720 in words is "one hundred thirty-seven billion, five hundred fifty-five million, one hundred forty-two thousand, seven hundred twenty".