153500106240 has 1440 divisors, whose sum is σ = 642699177120. Its totient is φ = 34828517376.

The previous prime is 153500106211. The next prime is 153500106251. The reversal of 153500106240 is 42601005351.

153500106240 is a `hidden beast` number, since 1 + 5 + 35 + 0 + 0 + 1 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4148651502 + ... + 4148651538.

It is an arithmetic number, because the mean of its divisors is an integer number (446318873).

Almost surely, 2^153500106240 is an apocalyptic number.

153500106240 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 153500106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321349588560).

153500106240 is an abundant number, since it is smaller than the sum of its proper divisors (489199070880).

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

153500106240 is an frugal number, since it uses more digits than its factorization.

153500106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 153500106240 in words is "one hundred fifty-three billion, five hundred million, one hundred six thousand, two hundred forty".