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137229498025 = 5243217232
BaseRepresentation
bin111111111001110000…
…0111111011010101001
3111010012202111210111221
41333303200333122221
54222021222414100
6143013052222041
712625450326034
oct1776340773251
9433182453457
10137229498025
1153220523a94
1222719a6a921
13cc2c8c2409
1468db6c601b
1538828b201a
hex1ff383f6a9

137229498025 has 27 divisors (see below), whose sum is σ = 174315093399. Its totient is φ = 107168256720.

The previous prime is 137229498017. The next prime is 137229498037. The reversal of 137229498025 is 520894922731.

It is a happy number.

The square root of 137229498025 is 370445.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 49402619289 + 87826878736 = 222267^2 + 296356^2 .

It is not a de Polignac number, because 137229498025 - 23 = 137229498017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79644814 + ... + 79646536.

Almost surely, 2137229498025 is an apocalyptic number.

137229498025 is the 370445-th square number.

137229498025 is the 185223-rd centered octagonal number.

It is an amenable number.

137229498025 is a deficient number, since it is larger than the sum of its proper divisors (37085595374).

137229498025 is an frugal number, since it uses more digits than its factorization.

137229498025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 137229498025 in words is "one hundred thirty-seven billion, two hundred twenty-nine million, four hundred ninety-eight thousand, twenty-five".

Divisors: 1 5 25 43 215 1075 1723 1849 8615 9245 43075 46225 74089 370445 1852225 2968729 3185827 14843645 15929135 74218225 79645675 127655347 638276735 3191383675 5489179921 27445899605 137229498025