157770007248 has 320 divisors, whose sum is σ = 508652840960. Its totient is φ = 41134915584.

The previous prime is 157770007193. The next prime is 157770007261. The reversal of 157770007248 is 842700077751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 157770007197 and 157770007206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20035440 + ... + 20043312.

It is an arithmetic number, because the mean of its divisors is an integer number (1589540128).

Almost surely, 2^157770007248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157770007248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254326420480).

157770007248 is an abundant number, since it is smaller than the sum of its proper divisors (350882833712).

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

157770007248 is a wasteful number, since it uses less digits than its factorization.

157770007248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 48.

The spelling of 157770007248 in words is "one hundred fifty-seven billion, seven hundred seventy million, seven thousand, two hundred forty-eight".