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137451450 = 23522339841
BaseRepresentation
bin10000011000101…
…01011110111010
3100120122020221110
420030111132322
5240141421300
621350021150
73256214043
oct1014253672
9316566843
10137451450
1170651344
123a0477b6
1322627326
141437d8ca
15c101550
hex83157ba

137451450 has 48 divisors (see below), whose sum is σ = 355709376. Its totient is φ = 35059200.

The previous prime is 137451449. The next prime is 137451463. The reversal of 137451450 is 54154731.

137451450 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1374514502 = 37785802214205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16471 + ... + 23370.

It is an arithmetic number, because the mean of its divisors is an integer number (7410612).

Almost surely, 2137451450 is an apocalyptic number.

137451450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137451450 is an abundant number, since it is smaller than the sum of its proper divisors (218257926).

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

137451450 is a wasteful number, since it uses less digits than its factorization.

137451450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39879 (or 39874 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 137451450 is about 11723.9690378301. The cubic root of 137451450 is about 516.0793024562.

The spelling of 137451450 in words is "one hundred thirty-seven million, four hundred fifty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3450 39841 79682 119523 199205 239046 398410 597615 916343 996025 1195230 1832686 1992050 2749029 2988075 4581715 5498058 5976150 9163430 13745145 22908575 27490290 45817150 68725725 137451450