152153188721400 has 192 divisors, whose sum is σ = 474827305893120. Its totient is φ = 40303040256000.

The previous prime is 152153188721371. The next prime is 152153188721407. The reversal of 152153188721400 is 4127881351251.

152153188721400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152153188721400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152153188721407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880181339 + ... + 1880262261.

It is an arithmetic number, because the mean of its divisors is an integer number (2473058884860).

Almost surely, 2^{152153188721400} is an apocalyptic number.

152153188721400 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 152153188721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237413652946560).

152153188721400 is an abundant number, since it is smaller than the sum of its proper divisors (322674117171720).

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

152153188721400 is a wasteful number, since it uses less digits than its factorization.

152153188721400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101846 (or 101837 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 152153188721400 in words is "one hundred fifty-two trillion, one hundred fifty-three billion, one hundred eighty-eight million, seven hundred twenty-one thousand, four hundred".