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140255136 = 25327292399
BaseRepresentation
bin10000101110000…
…01111110100000
3100202220200212200
420113001332200
5241401131021
621530053200
73322102050
oct1027017640
9322820780
10140255136
117219683a
123ab7a200
1323099508
14148ad560
15c4a7126
hex85c1fa0

140255136 has 144 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 38674944.

The previous prime is 140255077. The next prime is 140255147. The reversal of 140255136 is 631552041.

140255136 is a `hidden beast` number, since 140 + 2 + 5 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57265 + ... + 59663.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2140255136 is an apocalyptic number.

140255136 is a gapful number since it is divisible by the number (16) 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 140255136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

140255136 is an abundant number, since it is smaller than the sum of its proper divisors (331488864).

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

140255136 is a wasteful number, since it uses less digits than its factorization.

140255136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 140255136 is about 11842.9361224318. The cubic root of 140255136 is about 519.5646454760.

The spelling of 140255136 in words is "one hundred forty million, two hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2399 2436 2784 3248 3654 4176 4798 4872 6496 7197 7308 8352 9596 9744 14394 14616 16793 19192 19488 21591 28788 29232 33586 38384 43182 50379 57576 58464 67172 69571 76768 86364 100758 115152 134344 139142 151137 172728 201516 208713 230304 268688 278284 302274 345456 403032 417426 486997 537376 556568 604548 626139 690912 806064 834852 973994 1113136 1209096 1252278 1460991 1612128 1669704 1947988 2226272 2418192 2504556 2921982 3339408 3895976 4382973 4836384 5009112 5843964 6678816 7791952 8765946 10018224 11687928 15583904 17531892 20036448 23375856 35063784 46751712 70127568 140255136