155093514240 has 768 divisors, whose sum is σ = 594397440000. Its totient is φ = 34488975360.

The previous prime is 155093514227. The next prime is 155093514287. The reversal of 155093514240 is 42415390551.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432015181 + ... + 432015539.

It is an arithmetic number, because the mean of its divisors is an integer number (773955000).

Almost surely, 2^155093514240 is an apocalyptic number.

155093514240 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 155093514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720000).

155093514240 is an abundant number, since it is smaller than the sum of its proper divisors (439303925760).

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

155093514240 is an equidigital number, since it uses as much as digits as its factorization.

155093514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 155093514240 in words is "one hundred fifty-five billion, ninety-three million, five hundred fourteen thousand, two hundred forty".