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137373948 = 22335921559
BaseRepresentation
bin10000011000000…
…10100011111100
3100120111022122000
420030002203330
5240131431243
621344222300
73255442065
oct1014024374
9316438560
10137373948
11705a9098
123a00a990
13225cac7a
141435d56c
15c0d85d3
hex83028fc

137373948 has 48 divisors (see below), whose sum is σ = 362208000. Its totient is φ = 45013104.

The previous prime is 137373947. The next prime is 137373959. The reversal of 137373948 is 849373731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137373941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4408 + ... + 17151.

It is an arithmetic number, because the mean of its divisors is an integer number (7546000).

Almost surely, 2137373948 is an apocalyptic number.

137373948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137373948 is an abundant number, since it is smaller than the sum of its proper divisors (224834052).

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

137373948 is a wasteful number, since it uses less digits than its factorization.

137373948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21631 (or 21623 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 137373948 is about 11720.6632918107. The cubic root of 137373948 is about 515.9822871151.

The spelling of 137373948 in words is "one hundred thirty-seven million, three hundred seventy-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 21559 43118 64677 86236 129354 194031 258708 388062 582093 776124 1164186 1271981 2328372 2543962 3815943 5087924 7631886 11447829 15263772 22895658 34343487 45791316 68686974 137373948