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149137040 = 24513143401
BaseRepresentation
bin10001110001110…
…10011010010000
3101101121221120002
420320322122100
5301134341130
622444305132
73460433603
oct1070723220
9341557502
10149137040
1177202958
1241b421a8
1324b89190
1415b4233a
15d15db45
hex8e3a690

149137040 has 40 divisors (see below), whose sum is σ = 373418808. Its totient is φ = 55065600.

The previous prime is 149136997. The next prime is 149137057. The reversal of 149137040 is 40731941.

It can be written as a sum of positive squares in 4 ways, for example, as 22619536 + 126517504 = 4756^2 + 11248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 149136994 and 149137012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70661 + ... + 72740.

Almost surely, 2149137040 is an apocalyptic number.

149137040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149137040 is an abundant number, since it is smaller than the sum of its proper divisors (224281768).

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

149137040 is a wasteful number, since it uses less digits than its factorization.

149137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143427 (or 143421 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 149137040 is about 12212.1677027463. The cubic root of 149137040 is about 530.3084000769.

Adding to 149137040 its reverse (40731941), we get a palindrome (189868981).

The spelling of 149137040 in words is "one hundred forty-nine million, one hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 143401 286802 573604 717005 1147208 1434010 1864213 2294416 2868020 3728426 5736040 7456852 9321065 11472080 14913704 18642130 29827408 37284260 74568520 149137040