153690710040 has 512 divisors, whose sum is σ = 608370278400. Its totient is φ = 33771479040.

The previous prime is 153690710021. The next prime is 153690710059. The reversal of 153690710040 is 40017096351.

It is an interprime number because it is at equal distance from previous prime (153690710021) and next prime (153690710059).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153690709977 and 153690710004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36792432 + ... + 36796608.

It is an arithmetic number, because the mean of its divisors is an integer number (1188223200).

Almost surely, 2^153690710040 is an apocalyptic number.

153690710040 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 153690710040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304185139200).

153690710040 is an abundant number, since it is smaller than the sum of its proper divisors (454679568360).

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

153690710040 is a wasteful number, since it uses less digits than its factorization.

153690710040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 153690710040 in words is "one hundred fifty-three billion, six hundred ninety million, seven hundred ten thousand, forty".