152045691840 has 896 divisors, whose sum is σ = 634140057600. Its totient is φ = 33575731200.

The previous prime is 152045691817. The next prime is 152045691841. The reversal of 152045691840 is 48196540251.

152045691840 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 4 + 569 + 1 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152045691841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252987540 + ... + 252988140.

It is an arithmetic number, because the mean of its divisors is an integer number (707745600).

Almost surely, 2^152045691840 is an apocalyptic number.

152045691840 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 152045691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317070028800).

152045691840 is an abundant number, since it is smaller than the sum of its proper divisors (482094365760).

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

152045691840 is a wasteful number, since it uses less digits than its factorization.

152045691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 152045691840 in words is "one hundred fifty-two billion, forty-five million, six hundred ninety-one thousand, eight hundred forty".