152974692780 has 768 divisors, whose sum is σ = 593056235520. Its totient is φ = 28510175232.

The previous prime is 152974692737. The next prime is 152974692817. The reversal of 152974692780 is 87296479251.

It is a super-2 number, since 2×152974692780² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 223974319 + ... + 223975001.

It is an arithmetic number, because the mean of its divisors is an integer number (772208640).

Almost surely, 2^152974692780 is an apocalyptic number.

152974692780 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 152974692780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296528117760).

152974692780 is an abundant number, since it is smaller than the sum of its proper divisors (440081542740).

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

152974692780 is a wasteful number, since it uses less digits than its factorization.

152974692780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 152974692780 in words is "one hundred fifty-two billion, nine hundred seventy-four million, six hundred ninety-two thousand, seven hundred eighty".