152098619904 has 480 divisors, whose sum is σ = 549161458560. Its totient is φ = 39370752000.

The previous prime is 152098619851. The next prime is 152098619921. The reversal of 152098619904 is 409916890251.

152098619904 is a `hidden beast` number, since 15 + 2 + 0 + 9 + 8 + 619 + 9 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142280682 + ... + 142281750.

It is an arithmetic number, because the mean of its divisors is an integer number (1144086372).

Almost surely, 2^152098619904 is an apocalyptic number.

152098619904 is a gapful number since it is divisible by the number (14) 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 152098619904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274580729280).

152098619904 is an abundant number, since it is smaller than the sum of its proper divisors (397062838656).

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

152098619904 is a wasteful number, since it uses less digits than its factorization.

152098619904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

It can be divided in two parts, 1520986 and 19904, that added together give a triangular number (1540890 = T₁₇₅₅).

The spelling of 152098619904 in words is "one hundred fifty-two billion, ninety-eight million, six hundred nineteen thousand, nine hundred four".