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132749955840 = 2835311577103
BaseRepresentation
bin111101110100010000…
…0111001001100000000
3110200122120110110212010
41323220200321030000
54133332442041330
6140552352132520
712406445002215
oct1735040711400
9420576413763
10132749955840
1151331986707
1221889837140
13c69782c538
1465d47c3b0c
1536be4b53b0
hex1ee8839300

132749955840 has 288 divisors, whose sum is σ = 440496193536. Its totient is φ = 34035056640.

The previous prime is 132749955829. The next prime is 132749955859. The reversal of 132749955840 is 48559947231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18685729 + ... + 18692831.

It is an arithmetic number, because the mean of its divisors is an integer number (1529500672).

Almost surely, 2132749955840 is an apocalyptic number.

132749955840 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 132749955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220248096768).

132749955840 is an abundant number, since it is smaller than the sum of its proper divisors (307746237696).

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

132749955840 is a wasteful number, since it uses less digits than its factorization.

132749955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 132749955840 in words is "one hundred thirty-two billion, seven hundred forty-nine million, nine hundred fifty-five thousand, eight hundred forty".