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125137914 = 231119731367
BaseRepresentation
bin1110111010101…
…11001111111010
322201110122221120
413131113033322
5224013403124
620230050110
73046440366
oct735271772
9281418846
10125137914
1164700a70
1235aa9936
131cc05705
14128962a6
15aebcd79
hex77573fa

125137914 has 64 divisors (see below), whose sum is σ = 291548160. Its totient is φ = 35406720.

The previous prime is 125137913. The next prime is 125137927. The reversal of 125137914 is 419731521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (125137913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90859 + ... + 92225.

It is an arithmetic number, because the mean of its divisors is an integer number (4555440).

Almost surely, 2125137914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125137914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145774080).

125137914 is an abundant number, since it is smaller than the sum of its proper divisors (166410246).

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

125137914 is a wasteful number, since it uses less digits than its factorization.

125137914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475.

The product of its digits is 7560, while the sum is 33.

The square root of 125137914 is about 11186.5058887930. The cubic root of 125137914 is about 500.1838177471.

The spelling of 125137914 in words is "one hundred twenty-five million, one hundred thirty-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 73 114 146 209 219 418 438 627 803 1254 1367 1387 1606 2409 2734 2774 4101 4161 4818 8202 8322 15037 15257 25973 30074 30514 45111 45771 51946 77919 90222 91542 99791 155838 199582 285703 299373 571406 598746 857109 1097701 1714218 1896029 2195402 3293103 3792058 5688087 6586206 11376174 20856319 41712638 62568957 125137914