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137755420 = 225111736833
BaseRepresentation
bin10000011010111…
…11101100011100
3100121012200220121
420031133230130
5240231133140
621400324324
73261621205
oct1015375434
9317180817
10137755420
1170839760
123a1736a4
13227027aa
141441c5ac
15c16164a
hex835fb1c

137755420 has 48 divisors (see below), whose sum is σ = 334158048. Its totient is φ = 47144960.

The previous prime is 137755361. The next prime is 137755421. The reversal of 137755420 is 24557731.

137755420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137755421) 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, 14677 + ... + 22156.

It is an arithmetic number, because the mean of its divisors is an integer number (6961626).

Almost surely, 2137755420 is an apocalyptic number.

137755420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137755420 is an abundant number, since it is smaller than the sum of its proper divisors (196402628).

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

137755420 is a wasteful number, since it uses less digits than its factorization.

137755420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36870 (or 36868 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 137755420 is about 11736.9254917972. The cubic root of 137755420 is about 516.4594539633.

It can be divided in two parts, 137 and 755420, that added together give a palindrome (755557).

The spelling of 137755420 in words is "one hundred thirty-seven million, seven hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 36833 73666 147332 184165 368330 405163 626161 736660 810326 1252322 1620652 2025815 2504644 3130805 4051630 6261610 6887771 8103260 12523220 13775542 27551084 34438855 68877710 137755420