152453052000 has 288 divisors, whose sum is σ = 545022825984. Its totient is φ = 40356096000.

The previous prime is 152453051999. The next prime is 152453052001. The reversal of 152453052000 is 250354251.

It is a happy number.

152453052000 is a `hidden beast` number, since 1 + 5 + 2 + 453 + 0 + 5 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152453051999) and next prime (152453052001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×152453052000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152453052001) 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, 4916545 + ... + 4947455.

It is an arithmetic number, because the mean of its divisors is an integer number (1892440368).

Almost surely, 2^152453052000 is an apocalyptic number.

152453052000 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 152453052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272511412992).

152453052000 is an abundant number, since it is smaller than the sum of its proper divisors (392569773984).

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

152453052000 is a wasteful number, since it uses less digits than its factorization.

152453052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31079 (or 31058 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 152453052000 in words is "one hundred fifty-two billion, four hundred fifty-three million, fifty-two thousand".