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1342135152 = 243271251523
BaseRepresentation
bin100111111111111…
…0101101101110000
310110112110112022100
41033333311231300
510222041311102
6341102340400
745154650321
oct11777655560
93415415270
101342135152
11629667006
1231558a700
1318509b617
14ca36c448
157cc64a1c
hex4fff5b70

1342135152 has 120 divisors (see below), whose sum is σ = 3831504768. Its totient is φ = 438480000.

The previous prime is 1342135147. The next prime is 1342135153. The reversal of 1342135152 is 2515312431.

1342135152 is a `hidden beast` number, since 134 + 2 + 13 + 515 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342135153) 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, 2565963 + ... + 2566485.

Almost surely, 21342135152 is an apocalyptic number.

1342135152 is a gapful number since it is divisible by the number (12) 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 1342135152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915752384).

1342135152 is an abundant number, since it is smaller than the sum of its proper divisors (2489369616).

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

1342135152 is a wasteful number, since it uses less digits than its factorization.

1342135152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 850 counting only the distinct ones).

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

The square root of 1342135152 is about 36635.1627811315. The cubic root of 1342135152 is about 1103.0590201873.

Adding to 1342135152 its reverse (2515312431), we get a palindrome (3857447583).

The spelling of 1342135152 in words is "one billion, three hundred forty-two million, one hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 251 284 426 502 523 568 639 753 852 1004 1046 1136 1278 1506 1569 1704 2008 2092 2259 2556 3012 3138 3408 4016 4184 4518 4707 5112 6024 6276 8368 9036 9414 10224 12048 12552 17821 18072 18828 25104 35642 36144 37133 37656 53463 71284 74266 75312 106926 111399 131273 142568 148532 160389 213852 222798 262546 285136 297064 320778 334197 393819 427704 445596 525092 594128 641556 668394 787638 855408 891192 1050184 1181457 1283112 1336788 1575276 1782384 2100368 2362914 2566224 2673576 3150552 4725828 5347152 6301104 9320383 9451656 18640766 18903312 27961149 37281532 55922298 74563064 83883447 111844596 149126128 167766894 223689192 335533788 447378384 671067576 1342135152