114040152153000 has 320 divisors, whose sum is σ = 398659168599120. Its totient is φ = 30408763392000.

The previous prime is 114040152152963. The next prime is 114040152153017. The reversal of 114040152153000 is 351251040411.

114040152153000 is a `hidden beast` number, since 1 + 1 + 40 + 40 + 1 + 52 + 1 + 530 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24013221444 + 114016138931556 = 154962^2 + 10677834^2 .

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

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, 1633006084 + ... + 1633075916.

Almost surely, 2^{114040152153000} is an apocalyptic number.

114040152153000 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 114040152153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199329584299560).

114040152153000 is an abundant number, since it is smaller than the sum of its proper divisors (284619016446120).

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

114040152153000 is a wasteful number, since it uses less digits than its factorization.

114040152153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90027 (or 90004 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 114040152153000 in words is "one hundred fourteen trillion, forty billion, one hundred fifty-two million, one hundred fifty-three thousand".