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126554144 = 2529136373
BaseRepresentation
bin1111000101100…
…01000000100000
322211010121122112
413202301000200
5224344213034
620320254452
73064456343
oct742610040
9284117575
10126554144
1165489002
1236471428
13202b0212
1412b4445a
15b19c7ce
hex78b1020

126554144 has 24 divisors (see below), whose sum is σ = 257746860. Its totient is φ = 61094656.

The previous prime is 126554107. The next prime is 126554159. The reversal of 126554144 is 441455621.

It can be written as a sum of positive squares in 2 ways, for example, as 121264144 + 5290000 = 11012^2 + 2300^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 126554144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67259 + ... + 69114.

Almost surely, 2126554144 is an apocalyptic number.

It is an amenable number.

126554144 is an abundant number, since it is smaller than the sum of its proper divisors (131192716).

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

126554144 is a wasteful number, since it uses less digits than its factorization.

126554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136412 (or 136404 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 126554144 is about 11249.6286160922. The cubic root of 126554144 is about 502.0636628731.

The spelling of 126554144 in words is "one hundred twenty-six million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 136373 272746 545492 1090984 2181968 3954817 4363936 7909634 15819268 31638536 63277072 126554144