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137245420 = 225131731051
BaseRepresentation
bin10000010111000…
…11001011101100
3100120020210022201
420023203023230
5240113323140
621341351244
73254365264
oct1013431354
9316223281
10137245420
1170520574
1239b68524
1322584610
14143287a4
15c0b049a
hex82e32ec

137245420 has 48 divisors (see below), whose sum is σ = 328654368. Its totient is φ = 47692800.

The previous prime is 137245411. The next prime is 137245441. The reversal of 137245420 is 24542731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11106 + ... + 19945.

It is an arithmetic number, because the mean of its divisors is an integer number (6846966).

Almost surely, 2137245420 is an apocalyptic number.

137245420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137245420 is an abundant number, since it is smaller than the sum of its proper divisors (191408948).

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

137245420 is a wasteful number, since it uses less digits than its factorization.

137245420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31090 (or 31088 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 137245420 is about 11715.1790425926. The cubic root of 137245420 is about 515.8213180577.

The spelling of 137245420 in words is "one hundred thirty-seven million, two hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 31051 62102 124204 155255 310510 403663 527867 621020 807326 1055734 1614652 2018315 2111468 2639335 4036630 5278670 6862271 8073260 10557340 13724542 27449084 34311355 68622710 137245420