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135156775440 = 24351621347411
BaseRepresentation
bin111110111011111111…
…0001011101000010000
3110220212022022120122210
41331313332023220100
54203300113303230
6142031250432120
712523211431041
oct1756776135020
9426768276583
10135156775440
1152357526915
122223b892640
13c98c36524b
1467822da8c8
1537b0936eb0
hex1f77f8ba10

135156775440 has 80 divisors (see below), whose sum is σ = 419245684416. Its totient is φ = 36019468800.

The previous prime is 135156775339. The next prime is 135156775471. The reversal of 135156775440 is 44577651531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135156775440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215335 + ... + 562745.

Almost surely, 2135156775440 is an apocalyptic number.

135156775440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135156775440 is an abundant number, since it is smaller than the sum of its proper divisors (284088908976).

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

135156775440 is a wasteful number, since it uses less digits than its factorization.

135156775440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349048 (or 349042 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 135156775440 in words is "one hundred thirty-five billion, one hundred fifty-six million, seven hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1621 3242 4863 6484 8105 9726 12968 16210 19452 24315 25936 32420 38904 48630 64840 77808 97260 129680 194520 347411 389040 694822 1042233 1389644 1737055 2084466 2779288 3474110 4168932 5211165 5558576 6948220 8337864 10422330 13896440 16675728 20844660 27792880 41689320 83378640 563153231 1126306462 1689459693 2252612924 2815766155 3378919386 4505225848 5631532310 6757838772 8447298465 9010451696 11263064620 13515677544 16894596930 22526129240 27031355088 33789193860 45052258480 67578387720 135156775440