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139406148 = 223272272437
BaseRepresentation
bin10000100111100…
…10101101000100
3100201022120021200
420103302231010
5241141444043
621455542500
73311634630
oct1023625504
9321276250
10139406148
11717669a2
123a82aa30
1322b5cc5b
141472bdc0
15c38a7d3
hex84f2b44

139406148 has 72 divisors (see below), whose sum is σ = 404668992. Its totient is φ = 39638592.

The previous prime is 139406143. The next prime is 139406149. The reversal of 139406148 is 841604931.

139406148 is a `hidden beast` number, since 1 + 39 + 4 + 0 + 614 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (139406143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55986 + ... + 58422.

Almost surely, 2139406148 is an apocalyptic number.

139406148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139406148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202334496).

139406148 is an abundant number, since it is smaller than the sum of its proper divisors (265262844).

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

139406148 is a wasteful number, since it uses less digits than its factorization.

139406148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 139406148 is about 11807.0380705747. The cubic root of 139406148 is about 518.5141855952.

The spelling of 139406148 in words is "one hundred thirty-nine million, four hundred six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 227 252 454 681 908 1362 1589 2043 2437 2724 3178 4086 4767 4874 6356 7311 8172 9534 9748 14301 14622 17059 19068 21933 28602 29244 34118 43866 51177 57204 68236 87732 102354 153531 204708 307062 553199 614124 1106398 1659597 2212796 3319194 3872393 4978791 6638388 7744786 9957582 11617179 15489572 19915164 23234358 34851537 46468716 69703074 139406148