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137242732 = 221129591823
BaseRepresentation
bin10000010111000…
…10100001101100
3100120020122122011
420023202201230
5240113231412
621341331004
73254354404
oct1013424154
9316218564
10137242732
1170519550
1239b66a64
1322583323
1414327804
15c0ae7a7
hex82e286c

137242732 has 48 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 59178560.

The previous prime is 137242727. The next prime is 137242747. The reversal of 137242732 is 237242731.

137242732 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137242694 and 137242703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74373 + ... + 76195.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2137242732 is an apocalyptic number.

It is an amenable number.

137242732 is an abundant number, since it is smaller than the sum of its proper divisors (138546068).

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

137242732 is a wasteful number, since it uses less digits than its factorization.

137242732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1924 counting only the distinct ones).

The product of its digits is 14112, while the sum is 31.

The square root of 137242732 is about 11715.0643190723. The cubic root of 137242732 is about 515.8179505216.

Subtracting 137242732 from its reverse (237242731), we obtain a palindrome (99999999).

The spelling of 137242732 in words is "one hundred thirty-seven million, two hundred forty-two thousand, seven hundred thirty-two".

Divisors: 1 2 4 11 22 29 44 58 59 116 118 236 319 638 649 1276 1298 1711 1823 2596 3422 3646 6844 7292 18821 20053 37642 40106 52867 75284 80212 105734 107557 211468 215114 430228 581537 1163074 1183127 2326148 2366254 3119153 4732508 6238306 12476612 34310683 68621366 137242732