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139729121280 = 21236572191
BaseRepresentation
bin1000001000100010000…
…0010011000000000000
3111100122221222211000000
42002020200103000000
54242131123340110
6144105104000000
713044421635300
oct2021040230000
9440587884000
10139729121280
115429349aa31
12230b7000000
131023a71c228
146a97679600
15397c0661c0
hex2088813000

139729121280 has 1092 divisors, whose sum is σ = 587874229632. Its totient is φ = 31770869760.

The previous prime is 139729121267. The next prime is 139729121293. The reversal of 139729121280 is 82121927931.

139729121280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (139729121267) and next prime (139729121293).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 731565985 + ... + 731566175.

Almost surely, 2139729121280 is an apocalyptic number.

139729121280 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 139729121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293937114816).

139729121280 is an abundant number, since it is smaller than the sum of its proper divisors (448145108352).

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

139729121280 is an frugal number, since it uses more digits than its factorization.

139729121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 139729121280 in words is "one hundred thirty-nine billion, seven hundred twenty-nine million, one hundred twenty-one thousand, two hundred eighty".