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132139745280 = 2153553319
BaseRepresentation
bin111101100010000100…
…1001000000000000000
3110122002001020120100000
41323010021020000000
54131110233322110
6140412033200000
712355355205534
oct1730411100000
9418061216300
10132139745280
1151049494464
1221739400000
13c5cb29a2ba
14657773dbc4
153685b2c1c0
hex1ec4248000

132139745280 has 384 divisors, whose sum is σ = 475186420800. Its totient is φ = 35226648576.

The previous prime is 132139745267. The next prime is 132139745293. The reversal of 132139745280 is 82547931231.

It is a happy number.

132139745280 is a `hidden beast` number, since 1 + 3 + 21 + 39 + 74 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132139745267) and next prime (132139745293).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39811461 + ... + 39814779.

Almost surely, 2132139745280 is an apocalyptic number.

132139745280 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 132139745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237593210400).

132139745280 is an abundant number, since it is smaller than the sum of its proper divisors (343046675520).

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

132139745280 is an frugal number, since it uses more digits than its factorization.

132139745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 132139745280 in words is "one hundred thirty-two billion, one hundred thirty-nine million, seven hundred forty-five thousand, two hundred eighty".