153277152740 has 96 divisors (see below), whose sum is σ = 344127540960. Its totient is φ = 57240780800.

The previous prime is 153277152709. The next prime is 153277152767. The reversal of 153277152740 is 47251772351.

153277152740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 123877249444 + 29399903296 = 351962^2 + 171464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153277152691 and 153277152700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2658620 + ... + 2715660.

It is an arithmetic number, because the mean of its divisors is an integer number (3584661885).

Almost surely, 2^153277152740 is an apocalyptic number.

153277152740 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 153277152740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172063770480).

153277152740 is an abundant number, since it is smaller than the sum of its proper divisors (190850388220).

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

153277152740 is a wasteful number, since it uses less digits than its factorization.

153277152740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57233 (or 57231 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 153277152740 in words is "one hundred fifty-three billion, two hundred seventy-seven million, one hundred fifty-two thousand, seven hundred forty".