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132152934040 = 23537659135497
BaseRepresentation
bin111101100010011101…
…1011011111010011000
3110122002222001121220121
41323010323123322120
54131122122342130
6140413224003024
712355605255661
oct1730473337230
9418088047817
10132152934040
1151055982366
1221741900474
13c600c373ba
1465793b4368
153686d84d7a
hex1ec4edbe98

132152934040 has 64 divisors (see below), whose sum is σ = 305846085600. Its totient is φ = 51354067968.

The previous prime is 132152933947. The next prime is 132152934047. The reversal of 132152934040 is 40439251231.

It is a junction number, because it is equal to n+sod(n) for n = 132152933987 and 132152934005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132152934047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907572 + ... + 1043068.

Almost surely, 2132152934040 is an apocalyptic number.

132152934040 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 132152934040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152923042800).

132152934040 is an abundant number, since it is smaller than the sum of its proper divisors (173693151560).

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

132152934040 is a wasteful number, since it uses less digits than its factorization.

132152934040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136204 (or 136200 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 132152934040 in words is "one hundred thirty-two billion, one hundred fifty-two million, nine hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 659 740 1318 1480 2636 3295 5272 6590 13180 24383 26360 48766 97532 121915 135497 195064 243830 270994 487660 541988 677485 975320 1083976 1354970 2709940 5013389 5419880 10026778 20053556 25066945 40107112 50133890 89292523 100267780 178585046 200535560 357170092 446462615 714340184 892925230 1785850460 3303823351 3571700920 6607646702 13215293404 16519116755 26430586808 33038233510 66076467020 132152934040