152745661536 has 288 divisors, whose sum is σ = 458302144608. Its totient is φ = 44273295360.

The previous prime is 152745661513. The next prime is 152745661559. The reversal of 152745661536 is 635166547251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152745661513) and next prime (152745661559).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88753156 + ... + 88754876.

It is an arithmetic number, because the mean of its divisors is an integer number (1591326891).

Almost surely, 2^152745661536 is an apocalyptic number.

152745661536 is a gapful number since it is divisible by the number (16) 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 152745661536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229151072304).

152745661536 is an abundant number, since it is smaller than the sum of its proper divisors (305556483072).

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

152745661536 is a wasteful number, since it uses less digits than its factorization.

152745661536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1955 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 51.

The spelling of 152745661536 in words is "one hundred fifty-two billion, seven hundred forty-five million, six hundred sixty-one thousand, five hundred thirty-six".