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155497605120 = 21135511131923
BaseRepresentation
bin1001000011010001100…
…0010010100000000000
3112212100220011210100000
42100310120102200000
510021424341330440
6155233513200000
714143242556344
oct2206430224000
9485326153300
10155497605120
115aa45387260
1226177a00000
1311881535040
147751983624
1540a1579730
hex2434612800

155497605120 has 2304 divisors, whose sum is σ = 721202227200. Its totient is φ = 31531991040.

The previous prime is 155497605119. The next prime is 155497605157. The reversal of 155497605120 is 21506794551.

It is a happy number.

155497605120 is a `hidden beast` number, since 1 + 55 + 497 + 60 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6760765429 + ... + 6760765451.

It is an arithmetic number, because the mean of its divisors is an integer number (313021800).

Almost surely, 2155497605120 is an apocalyptic number.

155497605120 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 155497605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360601113600).

155497605120 is an abundant number, since it is smaller than the sum of its proper divisors (565704622080).

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

155497605120 is a wasteful number, since it uses less digits than its factorization.

155497605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 155497605120 in words is "one hundred fifty-five billion, four hundred ninety-seven million, six hundred five thousand, one hundred twenty".