152395749000 has 1152 divisors, whose sum is σ = 603577578240. Its totient is φ = 35925120000.

The previous prime is 152395748969. The next prime is 152395749053. The reversal of 152395749000 is 947593251.

It is a happy number.

152395749000 is a `hidden beast` number, since 152 + 3 + 9 + 5 + 7 + 490 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2087612964 + ... + 2087613036.

It is an arithmetic number, because the mean of its divisors is an integer number (523938870).

Almost surely, 2^152395749000 is an apocalyptic number.

152395749000 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 152395749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301788789120).

152395749000 is an abundant number, since it is smaller than the sum of its proper divisors (451181829240).

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

152395749000 is a wasteful number, since it uses less digits than its factorization.

152395749000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 152395749000 in words is "one hundred fifty-two billion, three hundred ninety-five million, seven hundred forty-nine thousand".