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137752540 = 2256887627
BaseRepresentation
bin10000011010111…
…10111111011100
3100121012112221221
420031132333130
5240231040130
621400303124
73261606622
oct1015367734
9317175857
10137752540
1170837582
123a171aa4
13227013a3
141441b512
15c16087a
hex835efdc

137752540 has 12 divisors (see below), whose sum is σ = 289280376. Its totient is φ = 55101008.

The previous prime is 137752529. The next prime is 137752553. The reversal of 137752540 is 45257731.

It is a junction number, because it is equal to n+sod(n) for n = 137752496 and 137752505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3443794 + ... + 3443833.

It is an arithmetic number, because the mean of its divisors is an integer number (24106698).

Almost surely, 2137752540 is an apocalyptic number.

137752540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137752540 is an abundant number, since it is smaller than the sum of its proper divisors (151527836).

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

137752540 is a wasteful number, since it uses less digits than its factorization.

137752540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887636 (or 6887634 counting only the distinct ones).

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

The square root of 137752540 is about 11736.8028014447. The cubic root of 137752540 is about 516.4558547980.

The spelling of 137752540 in words is "one hundred thirty-seven million, seven hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 6887627 13775254 27550508 34438135 68876270 137752540