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135747125140 = 2251137711931217
BaseRepresentation
bin111111001101100101…
…0001011111110010100
3110222101110011110012111
41332123022023332110
54211002231001030
6142210020000404
712543640345144
oct1763312137624
9428343143174
10135747125140
115262a793330
1222385530104
13ca547624b3
1467da890924
1537e769a62a
hex1f9b28bf94

135747125140 has 192 divisors, whose sum is σ = 325833435648. Its totient is φ = 47067955200.

The previous prime is 135747125113. The next prime is 135747125149. The reversal of 135747125140 is 41521747531.

It is a junction number, because it is equal to n+sod(n) for n = 135747125093 and 135747125102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135747125149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111541812 + ... + 111543028.

It is an arithmetic number, because the mean of its divisors is an integer number (1697049144).

Almost surely, 2135747125140 is an apocalyptic number.

135747125140 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 135747125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162916717824).

135747125140 is an abundant number, since it is smaller than the sum of its proper divisors (190086310508).

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

135747125140 is a wasteful number, since it uses less digits than its factorization.

135747125140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 135747125140 in words is "one hundred thirty-five billion, seven hundred forty-seven million, one hundred twenty-five thousand, one hundred forty".