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135625840176 = 24337186740903
BaseRepresentation
bin111111001001111101…
…1100001011000110000
3110222001222221112111210
41332103323201120300
54210230203341201
6142150004240120
712540635422521
oct1762373413060
9428058845453
10135625840176
1152578284122
12223509a0040
13ca355a8748
1467c871c848
1537dbbde1d6
hex1f93ee1630

135625840176 has 80 divisors (see below), whose sum is σ = 360037662464. Its totient is φ = 43962124032.

The previous prime is 135625840151. The next prime is 135625840241. The reversal of 135625840176 is 671048526531.

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

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, 3295341 + ... + 3336243.

Almost surely, 2135625840176 is an apocalyptic number.

135625840176 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 135625840176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180018831232).

135625840176 is an abundant number, since it is smaller than the sum of its proper divisors (224411822288).

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

135625840176 is a wasteful number, since it uses less digits than its factorization.

135625840176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42818 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 135625840176 in words is "one hundred thirty-five billion, six hundred twenty-five million, eight hundred forty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 1867 3734 5601 7468 11202 14936 22404 29872 40903 44808 69079 81806 89616 122709 138158 163612 207237 245418 276316 327224 414474 490836 552632 654448 828948 981672 1105264 1513411 1657896 1963344 3026822 3315792 4540233 6053644 9080466 12107288 18160932 24214576 36321864 72643728 76365901 152731802 229097703 305463604 458195406 610927208 916390812 1221854416 1832781624 2825538337 3665563248 5651076674 8476615011 11302153348 16953230022 22604306696 33906460044 45208613392 67812920088 135625840176