152134832397240 has 3072 divisors, whose sum is σ = 681700884480000. Its totient is φ = 29456299192320.

The previous prime is 152134832397217. The next prime is 152134832397263. The reversal of 152134832397240 is 42793238431251.

152134832397240 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 3 + 4 + 8 + 3 + 2 + 397 + 240 = 666.

152134832397240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152134832397217) and next prime (152134832397263).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 346548592941 + ... + 346548593379.

It is an arithmetic number, because the mean of its divisors is an integer number (221907840000).

Almost surely, 2^{152134832397240} is an apocalyptic number.

152134832397240 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 152134832397240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340850442240000).

152134832397240 is an abundant number, since it is smaller than the sum of its proper divisors (529566052082760).

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

152134832397240 is a wasteful number, since it uses less digits than its factorization.

152134832397240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 152134832397240 in words is "one hundred fifty-two trillion, one hundred thirty-four billion, eight hundred thirty-two million, three hundred ninety-seven thousand, two hundred forty".