155520 has 96 divisors (see below), whose sum is σ = 556920. Its totient is φ = 41472.

The previous prime is 155509. The next prime is 155521. The reversal of 155520 is 25551.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (3!)^{3}.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 12.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 155493 and 155502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31102 + ... + 31106.

155520 is a Friedman number, since it can be written as 20*(5+1^5)^5, using all its digits and the basic arithmetic operations.

2^{155520} is an apocalyptic number.

155520 is a gapful number since it is divisible by the number (10) 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 155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460).

155520 is an abundant number, since it is smaller than the sum of its proper divisors (401400).

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

155520 is an frugal number, since it uses more digits than its factorization.

155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 155520 is about 394.3602414037. The cubic root of 155520 is about 53.7768569587.

The spelling of 155520 in words is "one hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 270 288 320 324 360 384 405 432 480 486 540 576 640 648 720 810 864 960 972 1080 1152 1215 1296 1440 1620 1728 1920 1944 2160 2430 2592 2880 3240 3456 3888 4320 4860 5184 5760 6480 7776 8640 9720 10368 12960 15552 17280 19440 25920 31104 38880 51840 77760 155520

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