152946395490 has 192 divisors, whose sum is σ = 439124716800. Its totient is φ = 33973309440.

The previous prime is 152946395489. The next prime is 152946395533. The reversal of 152946395490 is 94593649251.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 152946395490.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15846186 + ... + 15855834.

It is an arithmetic number, because the mean of its divisors is an integer number (2287107900).

Almost surely, 2^152946395490 is an apocalyptic number.

152946395490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152946395490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219562358400).

152946395490 is an abundant number, since it is smaller than the sum of its proper divisors (286178321310).

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

152946395490 is a wasteful number, since it uses less digits than its factorization.

152946395490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9977 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 152946395490 in words is "one hundred fifty-two billion, nine hundred forty-six million, three hundred ninety-five thousand, four hundred ninety".