155766240 has 480 divisors, whose sum is σ = 671799744. Its totient is φ = 33177600.

The previous prime is 155766217. The next prime is 155766251. The reversal of 155766240 is 42667551.

It is a happy number.

155766240 is a `hidden beast` number, since 1 + 557 + 6 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155766195 and 155766204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542190 + ... + 1542290.

Almost surely, 2^155766240 is an apocalyptic number.

155766240 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 155766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335899872).

155766240 is an abundant number, since it is smaller than the sum of its proper divisors (516033504).

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

155766240 is a wasteful number, since it uses less digits than its factorization.

155766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 155766240 is about 12480.6345992502. The cubic root of 155766240 is about 538.0522422240.

The spelling of 155766240 in words is "one hundred fifty-five million, seven hundred sixty-six thousand, two hundred forty".