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137252820 = 22352287547
BaseRepresentation
bin10000010111001…
…00111111010100
3100120021011110210
420023210333110
5240114042240
621341445420
73254425665
oct1013447724
9316234423
10137252820
1170526091
1239b70870
1322587ab3
141432b36c
15c0b2780
hex82e4fd4

137252820 has 24 divisors (see below), whose sum is σ = 384308064. Its totient is φ = 36600736.

The previous prime is 137252813. The next prime is 137252833. The reversal of 137252820 is 28252731.

137252820 is digitally balanced in base 2, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143714 + ... + 1143833.

It is an arithmetic number, because the mean of its divisors is an integer number (16012836).

Almost surely, 2137252820 is an apocalyptic number.

137252820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137252820 is an abundant number, since it is smaller than the sum of its proper divisors (247055244).

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

137252820 is a wasteful number, since it uses less digits than its factorization.

137252820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287559 (or 2287557 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 137252820 is about 11715.4948679089. The cubic root of 137252820 is about 515.8305885775.

The spelling of 137252820 in words is "one hundred thirty-seven million, two hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2287547 4575094 6862641 9150188 11437735 13725282 22875470 27450564 34313205 45750940 68626410 137252820