152461264403040 has 96 divisors (see below), whose sum is σ = 480255777872640. Its totient is φ = 40656100560384.

The previous prime is 152461264403029. The next prime is 152461264403047. The reversal of 152461264403040 is 40304462164251.

152461264403040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×152461264403040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152461264402983 and 152461264403001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152461264403047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91190941 + ... + 92847779.

It is an arithmetic number, because the mean of its divisors is an integer number (5002664352840).

Almost surely, 2^{152461264403040} is an apocalyptic number.

152461264403040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152461264403040 is an abundant number, since it is smaller than the sum of its proper divisors (327794513469600).

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

152461264403040 is a wasteful number, since it uses less digits than its factorization.

152461264403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848564 (or 1848556 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 152461264403040 in words is "one hundred fifty-two trillion, four hundred sixty-one billion, two hundred sixty-four million, four hundred three thousand, forty".